International Journal of Non-Linear Mechanics最新文献

英文中文

Impact of moving load vibrations on pavement damage supported by flow-controlled geomaterials

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-11 DOI: 10.1016/j.ijnonlinmec.2025.105045

Yakshansh Kumar , Ashutosh Trivedi , Sanjay Kumar Shukla

This work proposes a novel plastic damage model to capture the post elastic flow-controlled damages in pavement-soil systems prescribed by the vibrations of moving load. Initially, the pavement structure has been modelled as a single-layer system resting on a spring-dashpot system representing soil mass. Then, multilayer modelling was adopted to analyze the post-elastic dynamic response in supporting plastic flow-controlled layers of geomaterial. Three mechanistic zones namely, elastic recoverable, transition, and post elastic zone have been conceptualized to identify the damage. The nonlinearity in stress and equivalent plastic strain has been observed for the set of selected velocities and load intensities specified in codal provisions. The variation in equivalent plastic strain is observed in the range of 10^-16 to 10^-3% in the granular base layer and 10^-16 to 10^-4% in the subgrade soil layer. The findings show that the equivalent plastic strain due to plastic flow prescribed by the vibrations of moving action of vehicular load at varied velocities is one of the root causes of permanent deformations. The propagation of dynamic load vibrations from the uppermost layer of pavement induces the generation of stress waves within distinct sub-layers of geomaterial. Hence, the observed behaviour leads to the generation of nonlinear stress waves prescribed by a vibrational mechanism of stress transfer (VMST). Therefore, the evaluation of the nonlinearities causing damage in pavement structure supported by flow controlled geomaterials has the potential to predict permanent deformations and its implications in the design of pavements supporting the transportation network.

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引用次数: 0

Revisiting dynamical orbits in the planar anisotropic Kepler problem

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-11 DOI: 10.1016/j.ijnonlinmec.2025.105029

Sergey Ershkov

In this investigation, a novel solving method has been introduced for determining the coordinates of a mass point m₂ in orbit around a more massive primary m₁ (within the framework of modified version of the restricted two-body problem, R2BP). Such analytical approach describes periodic orbits for the planar anisotropic Kepler problem instead of the classical Kepler's formulation of the R2BP. Simultaneously, a system of equations of motion in polar coordinates has been derived and then successfully explored to identify the quasi-periodic orbits for the planar anisotropic Kepler problem which are proved to be slightly quasi-oscillating along the elliptic classical orbit according to Kepler's law for R2BP. An analytical expression has been obtained for the function of polar radius via elegant procedure of integration (a successful repetitive cascade of changes of appropriate variables). So, solution can be presented via quasi-periodic cycles of oscillations of trajectory of mass point m₂ moving around a massive primary m₁.

MSC classes

70F15, 70F07.

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引用次数: 0

Application of Fourier series to the dynamics of a test particle in the CR3BP with an oblate primary

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-11 DOI: 10.1016/j.ijnonlinmec.2025.105030

Om Prakash Meena , Manas Lohani , Soham Sen , Deepesh Mishra , Rajiv Aggarwal

This study delves into periodic orbits within the circular restricted three-body problem (CR3BP), where a negligible mass orbits under the gravitational pull of two primary bodies. Specifically, we examine the dynamics of the third body in the CR3BP with an oblate larger primary. We determine periodic orbits around the libration points, accounting for the oblate spheroidal shape of the larger primary, using the Fourier series method. We analyze both short and long periodic orbits, presenting variational graphs to depict changes in the period

T

of the orbits. Furthermore, we investigate how oblateness and mass parameters affect the dimensions and periods of the periodic orbits.

引用次数: 0

Hydraulic-mechanical interaction of pervious concrete lining considering lining cracking in pressure tunnels

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-11 DOI: 10.1016/j.ijnonlinmec.2025.105044

Junchao Jin , Laihong Jing , Zhiyu Song , Kai Su , Fengwei Yang , Yafei Zhai

Concrete lining plays key role in high-pressure water diversion tunnels, where accurately predicting their cracking and leakage behavior is essential for effective engineering design. However, due to the complexity of the working environment and load conditions, the influencing patterns of lining cracking and leakage remains not fully comprehensive and the design methods need improvement. This paper aims to contribute to deepen the understanding of hydraulic-mechanical interaction of pervious concrete lining in pressure tunnels. It conceptualizes the tunnel as a structure comprising concrete lining, grouting ring, and surrounding rock. An analytical model is developed based on principles of displacement continuity and flow continuity, considering both internal and external water pressures. By comparing with existing analytical solution, physical model experiment, and engineering monitoring data, the correctness of the established model was verified. This model comprehensively considers internal and external water boundary conditions for both the lining-surrounding rock structure and the lining-grouting ring-surrounding rock structure, thereby broadening its applicable scenarios. Using the control variable method, the study analyzes the influence of factors such as concrete grade, reinforcement ratio, lining thickness, elastic modulus of surrounding rock, permeability coefficient of surrounding rock, grouting ring thickness and permeability coefficient of grouting ring on lining cracking and leakage, using indicators like steel stress, crack width, and leakage. Finally, the study proposes an optimization design methodology for pervious concrete lining, supported by illustrative examples that demonstrate its applicability in engineering practice. This research contributes valuable insights into enhancing the reliability and performance of concrete lining in high-pressure tunnels.

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引用次数: 0

An Abaqus user subroutine solving convergence problems of nonlinear viscoelastic models with thermorheologically simple temperature dependence

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-11 DOI: 10.1016/j.ijnonlinmec.2025.105034

Olaf Hesebeck

The temperature dependence of viscoelastic materials is usually modeled assuming thermorheologically simple behavior. In the commercial finite element software Abaqus, this feature is available for both linear and nonlinear viscoelastic models. The nonlinear implementation of viscoelasticity enables to use more sophisticated creep models, but also to formulate the material behavior dependent on an additional field variable, e.g. a variable describing ageing. Convergence problems or a prohibitive large number of small increments can occur if a significant change of temperature is simulated using the nonlinear approach with implicit time integration.

This technical note presents a user subroutine avoiding the convergence problem. The solution is explained and demonstrated in a test case of bonded plates under stresses induced by thermal cycling. In this test, the solution using the user subroutine agrees with the linear reference solution and shows similarly good convergence, while the nonlinear simulation without the user subroutine shows convergence problems. User subroutine and test input files are provided in the supplementary material.

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引用次数: 0

DEM study on the impact mechanical properties and failure characteristics of frozen soil under coupled compression–shear loading

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-08 DOI: 10.1016/j.ijnonlinmec.2025.105039

Lijun Zhang , Zhanfan Chunyu , Zhiwu Zhu , Longjiang Hou , Zhengqiang Cheng , Shuai Zhang

It is important to study the effects of the mechanical properties and failure characteristics of defective frozen soil under coupled compression–shear loading for engineering construction safety and disaster prevention. In this study, the particle flow code was used to establish the distinct element method (DEM) model of a split-Hopkinson pressure bar experiment on frozen soil. The failure processes of frozen soils with different tilting angles and holes were simulated using the DEM model to investigate the influence of the tilting angle and hole deviation (deviation from the geometric center of the frozen soil specimen) on the impact mechanical properties and failure characteristics of frozen soil specimens under coupled compression–shear loading. The results of numerical simulation indicated that when the tilting angle and impact strain rate were 0° and 100 s⁻¹, the axial peak stress of frozen soil specimen with a hole was smaller than that without a hole, the hole deviation had a minor influence on the axial peak stress. When the strain rate was 100 s⁻¹, the axial and shear peak stresses of the frozen soil specimen without a hole increased and decreased, respectively, with increasing tilting angle, and the number proportion of shear-cracks also increased. When the tilting angle and strain rate were 60° and 100 s⁻¹, the fully deviated hole had a minor influence on the impact mechanical properties and failure characteristics of the frozen soil. The impact loading also had a minor influence on the deformation of the hole.

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引用次数: 0

Stability performance analysis of complex nonlinear piezoelectric energy harvesting systems

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-07 DOI: 10.1016/j.ijnonlinmec.2025.105037

Guanghui Xia , Su Zhang , Mingrui Liu , Yufeng Zhang , Tingting Han , Hua Xia , Wei Wang , Xiaofang Kang , Leiyu Chen , Weiqiu Chen , C.W. Lim

Based on the multi-directionality of the excitation source, a more accurate mathematical model is established by taking into account five kinds of nonlinearities, including material nonlinearity, geometric nonlinearity, damping nonlinearity, inertial nonlinearity and coupling nonlinearity. The effects of parameters such as excitation amplitude, damping coefficients, resistance, tip masses and nonlinear piezoelectric coefficients on the response and stability of the system are analyzed by approximate resolution. The result shows that variation of excitation amplitude induces no impact on the stability, while linear damping coefficients and nonlinear piezoelectric coefficients have remarkable impact on the unstable region. Through analyzing the influence of different parameters, the adjusting of linear damping and selecting appropriate piezoelectric material can greatly improve the stability in the low frequency range.

引用次数: 0

Dynamic characteristics of a complex rotor system supported on active dry friction dampers considering friction-stiffening effects

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-06 DOI: 10.1016/j.ijnonlinmec.2025.105042

Minghong Jiang, Peng Zhang, Xianghong Gao, Changsheng Zhu

Active dry friction dampers (ADFDs) are promising in rotor vibration suppression. The normal force of ADFD is commonly designed by minimizing responses at a given axial position or maximizing damping ratios. These methods emphasize the maximization of local damping effects while the influences of stiffening effects on system dynamics are ignored. By analyzing the dynamic characteristics of a complex rotor-ADFDs system, this paper intends to disclose the existence of some phenomena due to friction-stiffening effects, which may make the optimization results of those local-damping-oriented methods unsatisfactory. The harmonic balance method is combined with an equivalent linearization technique to relate the unbalance responses with the damper's friction-stiffening effects. After model validation, the effects of rotational speeds, normal forces, and ADFD's installation positions on unbalance responses and ADFD's stiffness coefficients were studied. The results show that the friction-stiffening effects will cause discrepancies in unbalance responses at different positions. Due to the ADFD's stiffening effects, the response variation trends at different positions may differ after the stick-slip transition. An optimum ADFD's normal force exists to minimize rotor unbalance response, though the optimum result could vary for responses at different positions due to friction-stiffening effects. Using the ADFD's stiffening effects, better vibration suppression performance may be achieved at multiple positions even if the damping level of the friction damper is lower.

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引用次数: 0

The modeling and experiment study on temperature characteristics of the rub-impact of titanium alloy rotor-stator system

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-05 DOI: 10.1016/j.ijnonlinmec.2025.105036

Yongfang Zhang , Hongwei Xu , Yiwei Zhao , Yanjun Lü , Xinliang Yang , Li Xiong

The rub-impact of rotor-stator system occurs when the relative motion gap between the blades and the casing exceeds radius clearance during the operation of aero-engine. It is great significant to study the temperature variations during the rub-impact of rotor-stator system for preventing combustion. The effects of nonlinear contact, centrifugal force, normal acceleration are considered to model the rub-impact contact forces of a rotor-stator system based on Hertz contact theory. The temperature field of the rub-impact of the rotor-stator system is calculated using the finite difference method by considering frictional heat generation, heat distribution, and heat conduction. Meanwhile, a rotor-stator rubbing experiment is conducted to measure the temperature of the contact surface under the operational conditions. The numerical results by the proposed method are in good agreement with the experiment results and the mean relative error is 2.96%. The proposed method can predict the temperature field on the rub-impact surface of the rotor-stator system accurately.

{"title":"The modeling and experiment study on temperature characteristics of the rub-impact of titanium alloy rotor-stator system","authors":"Yongfang Zhang , Hongwei Xu , Yiwei Zhao , Yanjun Lü , Xinliang Yang , Li Xiong","doi":"10.1016/j.ijnonlinmec.2025.105036","DOIUrl":"10.1016/j.ijnonlinmec.2025.105036","url":null,"abstract":"<div><div>The rub-impact of rotor-stator system occurs when the relative motion gap between the blades and the casing exceeds radius clearance during the operation of aero-engine. It is great significant to study the temperature variations during the rub-impact of rotor-stator system for preventing combustion. The effects of nonlinear contact, centrifugal force, normal acceleration are considered to model the rub-impact contact forces of a rotor-stator system based on Hertz contact theory. The temperature field of the rub-impact of the rotor-stator system is calculated using the finite difference method by considering frictional heat generation, heat distribution, and heat conduction. Meanwhile, a rotor-stator rubbing experiment is conducted to measure the temperature of the contact surface under the operational conditions. The numerical results by the proposed method are in good agreement with the experiment results and the mean relative error is 2.96%. The proposed method can predict the temperature field on the rub-impact surface of the rotor-stator system accurately.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"171 ","pages":"Article 105036"},"PeriodicalIF":2.8,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143378441","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

Lyapunov-based adaptive adjustment of (p,q)-Analogue Meyer-König and Zeller operator coefficients with applications to compliant motion control in collaborative robotic arms

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics

Pub Date : 2025-02-05 DOI: 10.1016/j.ijnonlinmec.2025.105035

Saleh Mobayen , Alireza Izadbakhsh

This paper introduces an observer-based robust adaptive compliant motion control strategy that employs (p,q)-analogue of Meyer-König and Zeller operators as estimators to tackle uncertainties, external disturbances, and friction force in collaborative multiple electrical manipulators. This approach leverages visual task-space information and doesn't depend on velocity feedback, enhancing cost-effectiveness and applicability in practical robotic systems. The lumped uncertainty is first modeled by this operator. The adaptation laws, derived from stability analysis, are then employed to tune its coefficients, which are not presented in the previous literature. By applying the Lyapunov lemma, the paper ensures that error signals within the controlled system are uniformly ultimately bounded (UUB). The suggested strategy is evaluated in a system featuring two arms managing a rigid load. Simulation results showcase the effectiveness and versatility of the proposed approach. The outcomes are also compared with two advanced approximation techniques to demonstrate the precision and effectiveness of the suggested controller design.

本文介绍了一种基于观测器的鲁棒性自适应顺从运动控制策略，该策略采用 Meyer-König 和 Zeller 算子的 (p,q) 类似算子作为估计器，以解决协作式多电机机械手中的不确定性、外部干扰和摩擦力问题。这种方法利用视觉任务空间信息，不依赖速度反馈，从而提高了成本效益和在实际机器人系统中的适用性。首先，本算子对集合不确定性进行建模。然后，利用从稳定性分析中得出的适应法则来调整其系数，这在以前的文献中没有介绍过。通过应用 Lyapunov Lemma，本文确保受控系统内的误差信号是均匀最终有界的（UUB）。本文在一个由两只手臂管理刚性负载的系统中对所建议的策略进行了评估。仿真结果展示了所建议方法的有效性和多功能性。仿真结果还与两种先进的近似技术进行了比较，以证明所建议的控制器设计的精确性和有效性。

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