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Numerical analysis on buckling-control of slender tube inspired by origami
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-31 DOI: 10.1016/j.ijnonlinmec.2025.105025
Qingyun Zhang, Ya Zhou, Yuhang Zhou, SeungDeog Kim, Jian Feng, Jianguo Cai
This paper addresses the issue of buckling in slender tubes under axial compression by introducing the Miura-ori origami configuration to study its impact on the buckling characteristics of slender tubes. First, the unit cell structure of the Miura-ori origami tube and the design of the origami slender tube are described. Then, taking the typical Miura-ori tube as an example, an analysis of its mechanical performance under axial compression is conducted to investigate its improvement in buckling control. To explore optimal mechanical performance, a square tube is used as a comparison to study the effects of different geometric parameters on the mechanical properties of the Miura-ori tube. The results indicate that as the length of the parallelogram increases, the internal angle decreases, the thickness decreases, and the crease weakening coefficient decreases, overall buckling control of the slender tube becomes more effective. Finally, response surface methodology is employed to analyze the combined influence of slenderness ratio, crease weakening coefficient, and internal angle on buckling control performance. The interaction between parameters is visualized, providing insights for parameter optimization.
{"title":"Numerical analysis on buckling-control of slender tube inspired by origami","authors":"Qingyun Zhang,&nbsp;Ya Zhou,&nbsp;Yuhang Zhou,&nbsp;SeungDeog Kim,&nbsp;Jian Feng,&nbsp;Jianguo Cai","doi":"10.1016/j.ijnonlinmec.2025.105025","DOIUrl":"10.1016/j.ijnonlinmec.2025.105025","url":null,"abstract":"<div><div>This paper addresses the issue of buckling in slender tubes under axial compression by introducing the Miura-ori origami configuration to study its impact on the buckling characteristics of slender tubes. First, the unit cell structure of the Miura-ori origami tube and the design of the origami slender tube are described. Then, taking the typical Miura-ori tube as an example, an analysis of its mechanical performance under axial compression is conducted to investigate its improvement in buckling control. To explore optimal mechanical performance, a square tube is used as a comparison to study the effects of different geometric parameters on the mechanical properties of the Miura-ori tube. The results indicate that as the length of the parallelogram increases, the internal angle decreases, the thickness decreases, and the crease weakening coefficient decreases, overall buckling control of the slender tube becomes more effective. Finally, response surface methodology is employed to analyze the combined influence of slenderness ratio, crease weakening coefficient, and internal angle on buckling control performance. The interaction between parameters is visualized, providing insights for parameter optimization.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105025"},"PeriodicalIF":2.8,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic characteristics and parameter analysis of drill string system with sliding drilling controller
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-31 DOI: 10.1016/j.ijnonlinmec.2025.105028
Jialin Tian , Yufeng Xie , Hasan N. Al-Mamoori , Ameer D. Kana , Liming Dai
In the deviating section of horizontal well, a greater length of horizontal section leads to a more severe friction and a smaller weight on bit transmitted to bit, which affects the rock breaking power. To address this issue, this paper introduces a novel tool termed the Sliding Drilling Controller (SDC). Subsequently, the modal analysis of axial-torsional coupled vibration is carried out. Then, the dynamic model of the horizontal drill string system is established during sliding drilling and compound drilling to obtain the corresponding dynamic response characteristics of axial torsional coupled dynamic response. The results show that the rig speed and external load should be increased as appropriate when the SDC is connected to the drill string system, which prevents resonance. A judicious increase of weight on bit can enhance the effectiveness of reducing friction and drag. In contrast, increasing rotary torque has minor impact on the reduction of friction and drag. The research offers valuable insights for the practical application and structural enhancement of SDC.
{"title":"Dynamic characteristics and parameter analysis of drill string system with sliding drilling controller","authors":"Jialin Tian ,&nbsp;Yufeng Xie ,&nbsp;Hasan N. Al-Mamoori ,&nbsp;Ameer D. Kana ,&nbsp;Liming Dai","doi":"10.1016/j.ijnonlinmec.2025.105028","DOIUrl":"10.1016/j.ijnonlinmec.2025.105028","url":null,"abstract":"<div><div>In the deviating section of horizontal well, a greater length of horizontal section leads to a more severe friction and a smaller weight on bit transmitted to bit, which affects the rock breaking power. To address this issue, this paper introduces a novel tool termed the Sliding Drilling Controller (SDC). Subsequently, the modal analysis of axial-torsional coupled vibration is carried out. Then, the dynamic model of the horizontal drill string system is established during sliding drilling and compound drilling to obtain the corresponding dynamic response characteristics of axial torsional coupled dynamic response. The results show that the rig speed and external load should be increased as appropriate when the SDC is connected to the drill string system, which prevents resonance. A judicious increase of weight on bit can enhance the effectiveness of reducing friction and drag. In contrast, increasing rotary torque has minor impact on the reduction of friction and drag. The research offers valuable insights for the practical application and structural enhancement of SDC.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105028"},"PeriodicalIF":2.8,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143349691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Melnikov analysis of chaotic dynamics in an impact oscillator system
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-30 DOI: 10.1016/j.ijnonlinmec.2025.105027
Yan Zhou , Peiyan Zhao , Yujie Guo
In this paper, the global dynamic characteristics of an impact oscillator in a class of complex non-smooth systems are discussed in depth by means of analytical and numerical analysis and the classical Melnikov theory. Firstly, the approximation method is used to obtain the fitting system, and the fitting system is compared with the original system. Subsequently, in order to further reveal the intrinsic chaos mechanism of the system, we apply the Melnikov method to determine the threshold conditions for the occurrence of homoclinic chaos in the system. Based on these threshold conditions, we systematically investigate the influence of key parameters such as recovery coefficient, excitation amplitude, excitation frequency and damping coefficient on the chaotic characteristics of the system. In particular, we analyze the transformation of system dynamics under different excitation amplitudes, and reveal the key role of excitation amplitude in regulating system stability. These research results provide new perspectives and tools for theoretical research in related fields, and also provide reference and guidance for the design and control of impact oscillators in practical engineering applications.
{"title":"Melnikov analysis of chaotic dynamics in an impact oscillator system","authors":"Yan Zhou ,&nbsp;Peiyan Zhao ,&nbsp;Yujie Guo","doi":"10.1016/j.ijnonlinmec.2025.105027","DOIUrl":"10.1016/j.ijnonlinmec.2025.105027","url":null,"abstract":"<div><div>In this paper, the global dynamic characteristics of an impact oscillator in a class of complex non-smooth systems are discussed in depth by means of analytical and numerical analysis and the classical Melnikov theory. Firstly, the approximation method is used to obtain the fitting system, and the fitting system is compared with the original system. Subsequently, in order to further reveal the intrinsic chaos mechanism of the system, we apply the Melnikov method to determine the threshold conditions for the occurrence of homoclinic chaos in the system. Based on these threshold conditions, we systematically investigate the influence of key parameters such as recovery coefficient, excitation amplitude, excitation frequency and damping coefficient on the chaotic characteristics of the system. In particular, we analyze the transformation of system dynamics under different excitation amplitudes, and reveal the key role of excitation amplitude in regulating system stability. These research results provide new perspectives and tools for theoretical research in related fields, and also provide reference and guidance for the design and control of impact oscillators in practical engineering applications.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105027"},"PeriodicalIF":2.8,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bulk waves in nonlinear compressible materials
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-30 DOI: 10.1016/j.ijnonlinmec.2025.105032
S.V. Kuznetsov
Bulk plane waves propagating in a compressible hyperelastic medium are analyzed. The medium is modeled by the Ogden compressible hyperelastic potential, which is often used for analyzing compressible foams. It is revealed that during the propagation of a delta-shaped pulse, strong shock wave fronts are formed and start to propagate, causing several interesting phenomena, including (i) substantial attenuation of the propagating acoustic waves with distance; (ii) the formation of shock wave fronts travelling at a slower velocity than the maximal P-wave velocity; and, (iii) heat release caused by the appearance of shock wave fronts. The uncovered phenomena can explain the experimentally observed dissipation of mechanical energy accompanying the propagation of bulk waves in foams.
{"title":"Bulk waves in nonlinear compressible materials","authors":"S.V. Kuznetsov","doi":"10.1016/j.ijnonlinmec.2025.105032","DOIUrl":"10.1016/j.ijnonlinmec.2025.105032","url":null,"abstract":"<div><div>Bulk plane waves propagating in a compressible hyperelastic medium are analyzed. The medium is modeled by the Ogden compressible hyperelastic potential, which is often used for analyzing compressible foams. It is revealed that during the propagation of a delta-shaped pulse, strong shock wave fronts are formed and start to propagate, causing several interesting phenomena, including (i) substantial attenuation of the propagating acoustic waves with distance; (ii) the formation of shock wave fronts travelling at a slower velocity than the maximal P-wave velocity; and, (iii) heat release caused by the appearance of shock wave fronts. The uncovered phenomena can explain the experimentally observed dissipation of mechanical energy accompanying the propagation of bulk waves in foams.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105032"},"PeriodicalIF":2.8,"publicationDate":"2025-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104173","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A scaling procedure for the shock characteristic of aluminum foam sandwich panels
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-23 DOI: 10.1016/j.ijnonlinmec.2025.105026
Fengxia He , Chuansheng Zheng , Zhong Luo , Haitao Luo , Chengying Zhao , Huaitao Shi , Xiaotian Bai
A structural similitude is introduced for the assessment of the vibration characteristics inherent to aluminum foam sandwich (AFS) panels. Scaling law for the natural frequency is fitted by neural network and transition models. The findings derived from both numerical simulations and experimental investigations indicate that the method put forth demonstrates superior efficacy compared to the conventional similitude theory utilized in governing equations. Additionally, a novel approach termed Similitudes based on Virtual Mode and Statistical Energy (SVMSE) is put forward to anticipate the shock response of AFS panels, incorporating similarity criteria for more accurate re-modulation. The numerical findings indicate that impact scenarios across various structures exhibit dynamic similarity, demonstrating identical vibration responses regardless of variations in size, impact duration, and amplitude. The results of the impact test on AFS panels indicate that the acceleration response and shock response spectrum (SRS) can be effectively scaled to extrapolate the behavior of the prototype, even in the presence of incomplete similarity. The anticipated similitude laws are expected to assist researchers in minimizing both costs and risks associated with experimental investigations.
{"title":"A scaling procedure for the shock characteristic of aluminum foam sandwich panels","authors":"Fengxia He ,&nbsp;Chuansheng Zheng ,&nbsp;Zhong Luo ,&nbsp;Haitao Luo ,&nbsp;Chengying Zhao ,&nbsp;Huaitao Shi ,&nbsp;Xiaotian Bai","doi":"10.1016/j.ijnonlinmec.2025.105026","DOIUrl":"10.1016/j.ijnonlinmec.2025.105026","url":null,"abstract":"<div><div>A structural similitude is introduced for the assessment of the vibration characteristics inherent to aluminum foam sandwich (AFS) panels. Scaling law for the natural frequency is fitted by neural network and transition models. The findings derived from both numerical simulations and experimental investigations indicate that the method put forth demonstrates superior efficacy compared to the conventional similitude theory utilized in governing equations. Additionally, a novel approach termed Similitudes based on Virtual Mode and Statistical Energy (SVMSE) is put forward to anticipate the shock response of AFS panels, incorporating similarity criteria for more accurate re-modulation. The numerical findings indicate that impact scenarios across various structures exhibit dynamic similarity, demonstrating identical vibration responses regardless of variations in size, impact duration, and amplitude. The results of the impact test on AFS panels indicate that the acceleration response and shock response spectrum (SRS) can be effectively scaled to extrapolate the behavior of the prototype, even in the presence of incomplete similarity. The anticipated similitude laws are expected to assist researchers in minimizing both costs and risks associated with experimental investigations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105026"},"PeriodicalIF":2.8,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On homogeneous and inhomogeneous deformation response of some generalized linear incompressible transversely isotropic hyperelastic potentials
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-19 DOI: 10.1016/j.ijnonlinmec.2025.105024
Mathlouthi Safa , Trifa Mohamed , Arfaoui Makrem
To accurately predict the mechanical behavior of soft materials, continuum mechanics-based phenomenological constitutive models are analyzed. This work examines three compatible standard incompressible transversely isotropic hyperelastic potentials. These potentials are derived from the neo-Hookean strain energy model, which extends linear elasticity theory to account for non-linear responses. They are characterized by quadratic dependencies on the fourth and fifth invariants, or their product, and are defined by three material parameters. The responses of these models under homogeneous deformations, such as simple tensile and simple shear, and non-homogeneous inflation, are examined and evaluated. The findings provide insights into the influence of linear theory on model development and its effectiveness in representing realistic stress responses in soft materials. The study highlights the importance of the building model methodology, especially concerning material instabilities.
{"title":"On homogeneous and inhomogeneous deformation response of some generalized linear incompressible transversely isotropic hyperelastic potentials","authors":"Mathlouthi Safa ,&nbsp;Trifa Mohamed ,&nbsp;Arfaoui Makrem","doi":"10.1016/j.ijnonlinmec.2025.105024","DOIUrl":"10.1016/j.ijnonlinmec.2025.105024","url":null,"abstract":"<div><div>To accurately predict the mechanical behavior of soft materials, continuum mechanics-based phenomenological constitutive models are analyzed. This work examines three compatible standard incompressible transversely isotropic hyperelastic potentials. These potentials are derived from the neo-Hookean strain energy model, which extends linear elasticity theory to account for non-linear responses. They are characterized by quadratic dependencies on the fourth and fifth invariants, or their product, and are defined by three material parameters. The responses of these models under homogeneous deformations, such as simple tensile and simple shear, and non-homogeneous inflation, are examined and evaluated. The findings provide insights into the influence of linear theory on model development and its effectiveness in representing realistic stress responses in soft materials. The study highlights the importance of the building model methodology, especially concerning material instabilities.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105024"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143478736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics analysis of a bistable 2-DOF coupled oscillator with nonlinear damping
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-19 DOI: 10.1016/j.ijnonlinmec.2025.105021
Peng Chen , Xiao-Dong Yang
This paper investigates the dynamics of a novel bistable 2-DOF coupled oscillator with nonlinear damping. The system is based on a conventional bistable nonlinear energy sink (NES), with nonlinear damping introduced to enhance the vibration absorption efficiency and reduce the threshold for a strongly modulated response (SMR). Initially, the slow invariant manifold (SIM) of the system is derived using complexification-averaging and multiple scales methods. The characteristics of saddle-node (SN) bifurcation and Hopf bifurcation at the periodic fixed point are then analyzed, identifying the ranges of stiffness, damping, and other parameters that influence the SMR. Subsequently, the SIM is examined in detail across different timescales, and the amplitude thresholds of external excitation that trigger SMR are derived. Finally, the system's maximum amplitude is optimized to reduce it while ensuring the generation of SMR. A numerical analysis of the energy spectrum near the resonance frequency is also conducted to compare the vibration suppression efficiency between the conventional NES and the bistable NES with nonlinear damping. The results demonstrate that the bistable NES with nonlinear damping effectively lowers the external excitation threshold for SMR, offering a wider threshold range and higher vibration suppression efficiency. Key parameters such as the mass ratio, linear and nonlinear stiffness, and nonlinear damping significantly influence the occurrence of SMR.
{"title":"Dynamics analysis of a bistable 2-DOF coupled oscillator with nonlinear damping","authors":"Peng Chen ,&nbsp;Xiao-Dong Yang","doi":"10.1016/j.ijnonlinmec.2025.105021","DOIUrl":"10.1016/j.ijnonlinmec.2025.105021","url":null,"abstract":"<div><div>This paper investigates the dynamics of a novel bistable 2-DOF coupled oscillator with nonlinear damping. The system is based on a conventional bistable nonlinear energy sink (NES), with nonlinear damping introduced to enhance the vibration absorption efficiency and reduce the threshold for a strongly modulated response (SMR). Initially, the slow invariant manifold (SIM) of the system is derived using complexification-averaging and multiple scales methods. The characteristics of saddle-node (SN) bifurcation and Hopf bifurcation at the periodic fixed point are then analyzed, identifying the ranges of stiffness, damping, and other parameters that influence the SMR. Subsequently, the SIM is examined in detail across different timescales, and the amplitude thresholds of external excitation that trigger SMR are derived. Finally, the system's maximum amplitude is optimized to reduce it while ensuring the generation of SMR. A numerical analysis of the energy spectrum near the resonance frequency is also conducted to compare the vibration suppression efficiency between the conventional NES and the bistable NES with nonlinear damping. The results demonstrate that the bistable NES with nonlinear damping effectively lowers the external excitation threshold for SMR, offering a wider threshold range and higher vibration suppression efficiency. Key parameters such as the mass ratio, linear and nonlinear stiffness, and nonlinear damping significantly influence the occurrence of SMR.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105021"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104171","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic resonance phenomenon of shape memory alloy strip plates under main resonance
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-19 DOI: 10.1016/j.ijnonlinmec.2025.105020
Ying Hao , Xusu Shou , Xinmiao Yu
This article investigates the main resonance and stochastic resonance problems of axially moving shape memory alloy strip plates under lateral loads. Adopting the Hamiltonian principle, a dynamic model of axially moving shape memory alloy strip plates under uniformly distributed loads is established. Considering the combined effect of harmonic excitation and random disturbance, a signal-to-noise ratio curve is drawn for the system. The effects of parameters such as the temperature, external excitation amplitude, and axial velocity on the main resonance response of the system are analyzed. The analysis of the example shows that for the same intensity of random disturbance, the potential barrier of the potential function is lower at the right temperatures, making the system more prone to stochastic resonance.
{"title":"Stochastic resonance phenomenon of shape memory alloy strip plates under main resonance","authors":"Ying Hao ,&nbsp;Xusu Shou ,&nbsp;Xinmiao Yu","doi":"10.1016/j.ijnonlinmec.2025.105020","DOIUrl":"10.1016/j.ijnonlinmec.2025.105020","url":null,"abstract":"<div><div>This article investigates the main resonance and stochastic resonance problems of axially moving shape memory alloy strip plates under lateral loads. Adopting the Hamiltonian principle, a dynamic model of axially moving shape memory alloy strip plates under uniformly distributed loads is established. Considering the combined effect of harmonic excitation and random disturbance, a signal-to-noise ratio curve is drawn for the system. The effects of parameters such as the temperature, external excitation amplitude, and axial velocity on the main resonance response of the system are analyzed. The analysis of the example shows that for the same intensity of random disturbance, the potential barrier of the potential function is lower at the right temperatures, making the system more prone to stochastic resonance.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105020"},"PeriodicalIF":2.8,"publicationDate":"2025-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modal and non-modal linear stability analysis of plane channel flow through a Darcy-Brinkman porous medium with symmetric and asymmetric slippery walls
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-16 DOI: 10.1016/j.ijnonlinmec.2025.105015
D.L. Shivaraj Kumar , D.L. Geetha , M.S. Basavaraj
This study investigates the linear stability and transient growth behavior of fluid flow in a channel influenced by varying slip boundary conditions, porous parameters, and viscosity ratios. The Chebyshev Collocation Method (CCM) was used to solve the modified eigenvalue problem, leveraging basic routines of MATLAB 2024b and the QZ algorithm for high precision in capturing stability characteristics. Using modal and non-modal stability analyses, the results reveal that boundary conditions—no-slip, symmetric slip, and asymmetric slip—strongly influence flow stability, eigenvalue spectra, and velocity profiles. With increasing slip length, symmetric slip enhances stability by raising the critical Reynolds number, while asymmetric slip introduces complex stability dynamics, particularly at higher viscosity ratios. Non-modal analysis highlights transient energy growth, pseudospectrum, and contour plots, especially under asymmetric slip, suggesting that disturbances could cause significant short-term deviations even in stable regimes. The results from the modal analysis appear to align well with those from the non-modal analysis.
{"title":"Modal and non-modal linear stability analysis of plane channel flow through a Darcy-Brinkman porous medium with symmetric and asymmetric slippery walls","authors":"D.L. Shivaraj Kumar ,&nbsp;D.L. Geetha ,&nbsp;M.S. Basavaraj","doi":"10.1016/j.ijnonlinmec.2025.105015","DOIUrl":"10.1016/j.ijnonlinmec.2025.105015","url":null,"abstract":"<div><div>This study investigates the linear stability and transient growth behavior of fluid flow in a channel influenced by varying slip boundary conditions, porous parameters, and viscosity ratios. The Chebyshev Collocation Method (CCM) was used to solve the modified eigenvalue problem, leveraging basic routines of MATLAB 2024b and the QZ algorithm for high precision in capturing stability characteristics. Using modal and non-modal stability analyses, the results reveal that boundary conditions—no-slip, symmetric slip, and asymmetric slip—strongly influence flow stability, eigenvalue spectra, and velocity profiles. With increasing slip length, symmetric slip enhances stability by raising the critical Reynolds number, while asymmetric slip introduces complex stability dynamics, particularly at higher viscosity ratios. Non-modal analysis highlights transient energy growth, pseudospectrum, and contour plots, especially under asymmetric slip, suggesting that disturbances could cause significant short-term deviations even in stable regimes. The results from the modal analysis appear to align well with those from the non-modal analysis.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105015"},"PeriodicalIF":2.8,"publicationDate":"2025-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104172","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlinear thermal radiation effects on bioconvection nano fluid flow over a convectively heated plate
IF 2.8 3区 工程技术 Q2 MECHANICS Pub Date : 2025-01-07 DOI: 10.1016/j.ijnonlinmec.2024.105010
M.M. Hamza , A. Sheriff , B.Y. Isah , A. Bello
Nonlinear density variation and nonlinear thermal radiation's effects on the bioconvection of a nano-liquid film in a convectively heated channel are examined in this article. This article examines a thin film that gravitationally pulls along a channel, containing both nanoparticles and gyrotactic bacteria. By using similarity transformations, the governing partial differential equations for momentum, energy, nanoparticle concentration, and microbe density are transformed into ordinary differential equations and numerically solved using the legendary spectral collocation method in Mathematica and demonstrate its efficiency and accuracy in modeling complex flow behaviors. The findings demonstrate that while nonlinear density effects are essential for enhancing nanoparticle dispersion and bioconvection patterns, nonlinear thermal radiation greatly improves heat transfer and fluid velocity. Numerous flow parameters' effects on the flow profiles are investigated, including the parameter of Brownian motion, the Rayleigh number for bioconvection, and the density parameters of nonlinear motile microorganisms. The outcomes show that the influence of nonlinear parameters increases heat and mass efficiency transmission in the system by reducing temperature and concentration gradients. The study provides useful information on how to enhance cooling techniques and energy efficiency for a range of industrial applications, such as solar panels, thermal regulation in electronics, and chemical processes. Additionally, it highlights the potential application of gyrotactic microorganisms in conjunction with nanofluids to enhance pollutant removal in environmental systems.
{"title":"Nonlinear thermal radiation effects on bioconvection nano fluid flow over a convectively heated plate","authors":"M.M. Hamza ,&nbsp;A. Sheriff ,&nbsp;B.Y. Isah ,&nbsp;A. Bello","doi":"10.1016/j.ijnonlinmec.2024.105010","DOIUrl":"10.1016/j.ijnonlinmec.2024.105010","url":null,"abstract":"<div><div>Nonlinear density variation and nonlinear thermal radiation's effects on the bioconvection of a nano-liquid film in a convectively heated channel are examined in this article. This article examines a thin film that gravitationally pulls along a channel, containing both nanoparticles and gyrotactic bacteria. By using similarity transformations, the governing partial differential equations for momentum, energy, nanoparticle concentration, and microbe density are transformed into ordinary differential equations and numerically solved using the legendary spectral collocation method in Mathematica and demonstrate its efficiency and accuracy in modeling complex flow behaviors. The findings demonstrate that while nonlinear density effects are essential for enhancing nanoparticle dispersion and bioconvection patterns, nonlinear thermal radiation greatly improves heat transfer and fluid velocity. Numerous flow parameters' effects on the flow profiles are investigated, including the parameter of Brownian motion, the Rayleigh number for bioconvection, and the density parameters of nonlinear motile microorganisms. The outcomes show that the influence of nonlinear parameters increases heat and mass efficiency transmission in the system by reducing temperature and concentration gradients. The study provides useful information on how to enhance cooling techniques and energy efficiency for a range of industrial applications, such as solar panels, thermal regulation in electronics, and chemical processes. Additionally, it highlights the potential application of gyrotactic microorganisms in conjunction with nanofluids to enhance pollutant removal in environmental systems.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105010"},"PeriodicalIF":2.8,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143104259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
International Journal of Non-Linear Mechanics
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