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Numerical study on the influence of common rail pipe on rail pressure fluctuation characteristics in high pressure common rail injection system (HPCRIS) of diesel engine 柴油机高压共轨喷射系统共轨管对轨道压力波动特性影响的数值研究
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-12-20 DOI: 10.1007/s10999-025-09845-6
Wentao Yuan, Miaomiao Qiu, Xinkai Ding, Hongzhen Wei, Xinlei Ding

High pressure common rail pipe is mainly used for storing high pressure fuel, maintaining stable pressure in the common rail pipe, and distributing the fuel to each injector. Therefore, the stability characteristics of common rail pressure determine the stability of fuel injection and engine. This paper first analyzes the composition and working principles of the high pressure common rail injection system for diesel engines, and establishes mathematical models for its key components. Secondly, based on numerical simulation and using AMESim, the simulation model of the diesel engine high-pressure common rail system was built, and the accuracy of the established simulation model was verified based on the high-pressure common rail system test bench built. Then, a detailed study was conducted on the rail pressure fluctuation characteristics of the common rail pipe, mainly analyzing the effects of injection target rail pressure, injection pulse width, common rail pipe length, common rail pipe inner diameter, common rail pipe wall thickness, and common rail pipe material on the rail pressure characteristics. Research has shown that the maximum peak value of rail pressure fluctuation follows a linear function relationship with the length and inner diameter of the common rail pipe, while the average rail pressure fluctuation follows a polynomial function relationship with the length and inner diameter of the common rail tube. Within the range of the studied parameters, the target rail pressure has the greatest impact on the peak rail pressure fluctuation, and the common rail pipe diameter has the most significant suppression on the average rail pressure fluctuation. Finally, based on the AMESim rail pressure fluctuation curve mentioned above, Fluent were used to preliminarily study the internal flow field characteristics of the common rail pipe at different outlets during the stable pressure stage with a target rail pressure of 150 MPa. Through the research in this paper, certain references can be provided for the design and optimization of common rail tubes in high-pressure common rail injection system.

高压共轨管主要用于储存高压燃油,保持共轨管内压力稳定,并将燃油分配到各喷油器。因此,共轨压力的稳定特性决定了燃油喷射和发动机的稳定性。本文首先分析了柴油机高压共轨喷射系统的组成和工作原理,并对其关键部件建立了数学模型。其次,在数值仿真的基础上,利用AMESim软件建立了柴油机高压共轨系统的仿真模型,并基于搭建的高压共轨系统试验台对所建立的仿真模型的准确性进行了验证。然后,对共轨管的轨压波动特性进行了详细的研究,主要分析了注射靶轨压、注射脉冲宽度、共轨管长度、共轨管内径、共轨管壁厚、共轨管材料对轨压特性的影响。研究表明,钢轨压力波动的最大峰值与共轨管长度和内径呈线性函数关系,平均钢轨压力波动与共轨管长度和内径呈多项式函数关系。在研究参数范围内,目标轨压对峰值轨压波动的影响最大,共轨管径对平均轨压波动的抑制最显著。最后,基于上述AMESim的轨压波动曲线,采用Fluent软件对目标轨压为150 MPa的稳压阶段共轨管不同出口的内部流场特性进行了初步研究。通过本文的研究,可以为高压共轨喷射系统共轨管的设计和优化提供一定的参考。
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引用次数: 0
Comprehensive analysis on the thermal performance of circular-perforated rectangular fin with internal heat generation using Chelyshkov polynomial operational matrix-based collocation approach 采用基于车里什科夫多项式运算矩阵的配置方法对带内热的圆孔矩形翅片热性能进行综合分析
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-09-08 DOI: 10.1007/s10999-025-09815-y
R S Varun Kumar, S K Abhilasha, Mavinakere Eshwaraiah Raghunandan, Amal Abdulrahman, R Naveen Kumar

Perforated fins have been regarded as one of the most effective ways in fin optimization and are used in film cooling turbine blades. The convective heat transfer from a rectangular fin with circular perforations by considering the effect of internal heat generation, is studied in this analysis. The solution to the modelled heat transfer-perforation fin problem is explored using the Chelyshkov polynomial collocation method. The operational-matrix form of the heat transfer-perforation fin problem is established using this collocation method. The governing heat equation is developed and is transformed into a dimensionless ordinary differential equation (ODE) using appropriate dimensionless variables. This equation is solved via matrix based Chelyshkov polynomial collocation approximations (MBCPCA). The comparison with alternative approaches to solving the perforated fin equation is executed, and an error analysis is also presented. The effect of parameters, including the number of perforations and their geometrical dimensions, is considered in this analysis. The variation in thermal profiles for various parameters is illustrated through tabulated and graphical statistics. The outcomes demonstrated that the perforated fin with circular holes exhibited a lower fin temperature than the non-perforated one. The rate of heat transmission is increased by 39.83% when the Biot number is increased from 1 to 2.

穿孔翅片被认为是最有效的翅片优化方法之一,在气膜冷却涡轮叶片中得到广泛应用。本文研究了考虑内部生热影响的矩形圆孔翅片对流换热问题。采用车里什科夫多项式配置法对模拟传热穿孔翅片问题进行了求解。利用这种配置方法,建立了换热穿孔翅问题的运算矩阵形式。建立了控制热方程,并利用适当的无量纲变量将其转化为无量纲常微分方程。该方程通过基于矩阵的车里什科夫多项式搭配近似(MBCPCA)求解。并与其他求解多孔翅片方程的方法进行了比较,并进行了误差分析。在此分析中考虑了参数的影响,包括射孔数量及其几何尺寸。通过表格和图形统计说明了各种参数下热剖面的变化。结果表明,带孔圆孔的翅片温度比不带孔的翅片温度低。当Biot数从1增加到2时,传热率提高了39.83%。
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引用次数: 0
Generative adversarial network for stress-minimizing topology optimization 应力最小化拓扑优化的生成对抗网络
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-09-01 DOI: 10.1007/s10999-025-09811-2
Xiaomei Huang, Shijiang Li, Congmin Miao, Liang Hou, Yun Chen

Topology optimization plays a critical role in structural design. However, stress-related problems typically involve computationally intensive sensitivity and finite element analysis, making traditional iterative methods costly and inefficient. In this study, an efficient stress-minimizing topology optimization method is proposed using a conditional generative adversarial network (cGAN) based on the residual U-shaped convolutional neural network (ResUNet) model. The von Mises stress field computed from the first iteration of the Solid Isotropic Material with Penalization (SIMP) method is incorporated into the generator as a physical prior to improve the accuracy and mechanical consistency of the generated topologies. A dataset is constructed using the SIMP method under random boundary conditions, volume fractions, and external loads, with the optimization problem solved using the Method of Moving Asymptotes (MMA). Global stress is evaluated using the p-norm function. The generative performance of convolutional neural network (CNN)-cGAN, U-shaped (U-Net)-cGAN, ResUNet-generative adversarial network (GAN), and ResUNet-cGAN models is systematically compared. The proposed method is validated on cantilever and MBB beam cases. Results show that the topologies generated by ResUNet-cGAN closely resemble those produced by the SIMP method, while significantly reducing computation time. This study demonstrates the feasibility of deep learning for efficient stress-related topology optimization.

拓扑优化在结构设计中起着至关重要的作用。然而,与应力相关的问题通常涉及计算密集的灵敏度和有限元分析,使得传统的迭代方法成本高且效率低。本文提出了一种基于残差u形卷积神经网络(ResUNet)模型的条件生成对抗网络(cGAN)的应力最小化拓扑优化方法。利用固体各向同性材料惩罚法(SIMP)的第一次迭代计算得到的von Mises应力场作为物理先验被整合到生成器中,以提高生成拓扑的精度和机械一致性。在随机边界条件、体积分数和外部载荷条件下,采用SIMP方法构建数据集,并采用移动渐近线法(MMA)求解优化问题。使用p-范数函数评估全局应力。系统比较了卷积神经网络(CNN)-cGAN、u形(U-Net)-cGAN、resunet -生成对抗网络(GAN)和ResUNet-cGAN模型的生成性能。在悬臂梁和MBB梁两种情况下对该方法进行了验证。结果表明,reunet - cgan生成的拓扑与SIMP方法生成的拓扑非常相似,同时显著减少了计算时间。该研究证明了深度学习用于高效应力相关拓扑优化的可行性。
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引用次数: 0
Study on the influence of spring parameters on the electromechanical behavior of circular dielectric elastomer membrane-spring actuators 弹簧参数对圆形介电弹性体膜-弹簧作动器机电性能影响的研究
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-28 DOI: 10.1007/s10999-025-09813-0
Cheng Yuan, Guanghong Miao, Shun Li, Silu Zhao, Shiqiang Zhu

Based on the principle of non-equilibrium thermodynamics and the theory of nonlinear dissipative dielectrics, this study develops a physical model to describe the viscoelastic electromechanical behavior of a circular dielectric elastomer membrane-spring actuator. Through theoretical analysis and numerical simulations, this study investigates the influence of spring parameters on the viscoelastic electromechanical behavior of the actuator under both constant and periodic loading conditions. It further proposes a regulation method to achieve the desired electromechanical response under different forces by appropriately tuning the spring parameters. The research results indicate that under constant loading conditions, the electromechanical response of the membrane can be either enhanced or suppressed by adjusting the spring’s initial length and stiffness. Specifically, the initial length primarily determines whether the response is enhanced or suppressed, while the stiffness predominantly influences the response amplitude. Furthermore, a functional relationship among the force, spring parameters, and the steady-state downward displacement of the disk has been established. This relationship allows the system to achieve the same steady-state deformation under varying forces by appropriately tuning the spring parameters, thereby enabling response optimization under non-ideal loading conditions. Under periodic excitation by force and voltage, the actuator exhibits stable oscillatory behavior, with the spring parameters continuing to play a crucial regulatory role. Specifically, these parameters significantly affect both the amplitude of the dynamic response and the time required for the system to reach steady-state oscillations. This study aims to provide theoretical guidance for the structural design and performance optimization of circular dielectric elastomer membrane-spring actuators in applications such as soft robotics, artificial heart pumps, and soft fluidic pumps.

基于非平衡热力学原理和非线性耗散介电学理论,建立了描述圆形介电弹性体膜-弹簧作动器粘弹性机电行为的物理模型。通过理论分析和数值模拟,研究了在恒定和周期性加载条件下,弹簧参数对作动器粘弹性机电性能的影响。进一步提出了一种调节方法,通过对弹簧参数进行适当的调整,在不同的力作用下实现所需的机电响应。研究结果表明,在恒定载荷条件下,通过调整弹簧的初始长度和刚度,可以增强或抑制膜的机电响应。具体而言,初始长度主要决定响应是增强还是抑制,而刚度主要影响响应幅度。此外,还建立了力、弹簧参数与盘的稳态向下位移之间的函数关系。这种关系允许系统通过适当调整弹簧参数在不同力下实现相同的稳态变形,从而实现非理想负载条件下的响应优化。在力和电压的周期性激励下,执行器表现出稳定的振荡行为,弹簧参数继续发挥重要的调节作用。具体来说,这些参数显著影响动态响应的幅度和系统达到稳态振荡所需的时间。本研究旨在为圆形介质弹性体膜弹簧作动器在软机器人、人工心脏泵、软流体泵等应用中的结构设计和性能优化提供理论指导。
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引用次数: 0
Dynamic impact and blast behaviors of biomechanically inspired Victoria cruziana vein sandwich plate with variable structural geometries 具有可变几何结构的生物力学启发的维多利亚静脉夹层板的动态冲击和爆炸行为
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-28 DOI: 10.1007/s10999-025-09782-4
Peng Guan, Chao Hao, Saiya Gong, Yankun Chen

To address the challenge of lightweight and high-performance structural design, a novel bionic sandwich plate (VP) inspired by the vein structure of Victoria cruziana leaves is proposed. The mechanical behavior of VPs under impact and blast loading is systematically investigated using finite element simulations. The study explores the influence of key structural parameters, including core distribution, wall thickness, core height, and skin thickness, on energy absorption, peak force, deformation, and failure modes. Results demonstrate that optimizing the core distribution and increasing the skin thickness can significantly enhance impact resistance, while increasing wall thickness or height provides limited benefits in terms of structural efficiency. In blast scenarios, optimizing the core distribution represents the most cost-effective and efficient strategy for enhancing the structural performance of sandwich plates. A random forest model is further employed to quantify the importance of each parameter, allowing for efficient identification of critical design variables based on different loading conditions. This research significantly enhances the understanding of the structural behavior of bionic sandwich plates and offers valuable insights for their practical application in fields such as aerospace, defense, and energy absorption, where weight minimization and resistance to impact and blast loads are of paramount importance.

为了解决轻质和高性能结构设计的挑战,提出了一种新型仿生夹层板(VP),其灵感来自于维多利亚叶子的静脉结构。采用有限元模拟方法系统地研究了VPs在冲击和爆炸载荷作用下的力学行为。研究了岩心分布、壁厚、岩心高度、蒙皮厚度等关键结构参数对吸能、峰值力、变形和破坏模式的影响。结果表明,优化堆芯分布和增加堆皮厚度可以显著提高抗冲击能力,而增加壁厚或壁高对结构效率的影响有限。在爆炸工况下,优化堆芯分布是提高夹层板结构性能的最经济有效的策略。随机森林模型进一步用于量化每个参数的重要性,允许基于不同加载条件的关键设计变量的有效识别。该研究显著增强了对仿生夹层板结构行为的理解,并为其在航空航天、国防和能量吸收等领域的实际应用提供了有价值的见解,这些领域的重量最小化和抗冲击和爆炸载荷至关重要。
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引用次数: 0
Frequency optimization of stiffened piezolaminated composite plates using a special relativity search based on hill climbing algorithm 基于爬坡算法的狭义相对论搜索加筋压电复合材料板频率优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-27 DOI: 10.1007/s10999-025-09814-z
Vahid Goodarzimehr, Umut Topal, Mehdi Bohlooly Fotovat

Frequency optimization of stiffened piezolaminated composite plates has not been investigated so far. Therefore, this study focuses on optimizing the fundamental frequency of stiffened piezolaminated composite plates using a novel special relativity search based on hill climbing (SRSHC) algorithm. The optimization process maximizes the fundamental frequency by adjusting the fibre orientations within the composite layers. The mathematical models, based on classical laminated plate theory (CLPT) with von Karman nonlinearity, are solved using MATLAB. The impact of various parameters, including boundary conditions, grid shapes, angles of diagonal ribs, and plate aspect ratios, on the optimized frequency results is thoroughly examined. The results demonstrate that the SRSHC algorithm outperforms the Special Relativity Search (SRS) algorithm, confirming its effectiveness in complex optimization problems with large search spaces. This research contributes to advancing the design of smart structures with enhanced dynamic performance.

加筋压电层合复合材料板的频率优化问题目前尚未得到研究。因此,本研究的重点是利用一种新的基于爬坡(SRSHC)算法的狭义相对论搜索来优化加筋压电复合材料板的基频。优化过程通过调整复合材料层内的纤维方向来最大化基频。基于经典叠合板理论(CLPT),并结合von Karman非线性,利用MATLAB对其数学模型进行求解。各种参数的影响,包括边界条件,网格形状,斜肋的角度,和板的宽高比,对优化的频率结果进行了彻底的检查。结果表明,SRSHC算法优于狭义相对论搜索(SRS)算法,证实了其在大搜索空间的复杂优化问题中的有效性。该研究有助于推进具有增强动力性能的智能结构的设计。
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引用次数: 0
Optimization of lock-in thermography applied for automatic identification of internal defects in 3D-printing polymer 应用于3d打印聚合物内部缺陷自动识别的锁定热成像优化
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-08-26 DOI: 10.1007/s10999-025-09812-1
Javier Pisonero, Manuel Rodríguez-Martín, Diego González-Aguilera, Roberto García-Martín

This work presents a methodology for automatic detection of internal defects in parts manufactured from 3D printing with two of the most common materials for these purposes. Active Thermography has been used, specifically the Lock-in technique. To ensure reliable detection, the varying frequencies of the stimulation source have been compared to determine the optimal configuration. Results have been analysed to identify the parameters that most affect the identification of defects. Results show that the frequency and the type of material used are the most critical parameters that condition the detection though the influence of this latter was less clear, so it was necessary apply a novel analysis based on Machine Learning. Most effective algorithm was an ensemble model, which achieved an accuracy rate of 88.9%. A variation of Maximum Stable External Regions is presented to automatised detection.

这项工作提出了一种方法,用于自动检测从3D打印制造的零件内部缺陷,其中两种最常见的材料用于这些目的。主动热成像已被使用,特别是锁定技术。为了确保可靠的检测,对刺激源的不同频率进行了比较,以确定最佳配置。对结果进行了分析,以确定最影响缺陷识别的参数。结果表明,频率和所用材料的类型是影响检测的最关键参数,尽管后者的影响不太明显,因此有必要应用基于机器学习的新分析。最有效的算法是集成模型,准确率达到88.9%。提出了一种用于自动检测的最大稳定外部区域的变化。
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引用次数: 0
Nonlocal strain gradient finite element model for dynamic buckling analysis of non-uniform thickness piezoelectric skew-nanoplate considering surface effect 考虑表面效应的非均厚压电斜纳米板动态屈曲分析的非局部应变梯度有限元模型
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-28 DOI: 10.1007/s10999-025-09798-w
Q. H Pham, Thanh Cuong-Le

In this present, the finite element approach is employed to analyze the free oscillation, static and dynamic buckling of skew-nanoplate made of piezoelectric materials with variable thickness resting on variable Pasternak medium in a hygro-temperature environment. This study is a wonderful combination of Kirchhoff plate theory, nonlocal strain gradient hypothesis, and surface effect and Hamilton’s principle to derive the general equilibrium equation of the plate. A four-node quadrilateral plate element with six degrees of freedom per node is developed using a Hermit C2-level non-conforming shape function. This element offers high accuracy and fast convergence for a variety of shapes and boundary conditions, outperforming lower-order elements. Bolotin’s method is applied to determine the dynamic instability region of the non-uniform piezoelectric skew nanoplate. The accuracy of the present approach is validated through numerical comparisons with established data. Furthermore, the effects of parameters such as residual surface stress, applied voltage, temperature gradient, moisture, elastic foundation stiffness, thickness variation, skew angle, geometric factors, and boundary conditions on free oscillation and stability of skew nanoplate are thoroughly assessed. The present study will offer the physical insights required to model size-dependent multifunctional systems for active control of mechanical characteristics and electromechanical energy harvesting, given the recent developments in nanoscale manufacturing.

本文采用有限元方法分析了变厚度压电材料斜纳米板在变帕斯捷尔纳克介质上的自由振荡、静屈曲和动态屈曲。本研究将Kirchhoff板理论、非局部应变梯度假说、表面效应和Hamilton原理巧妙地结合起来,推导出板的一般平衡方程。利用Hermit c2级非一致性形状函数,建立了每个节点具有6个自由度的四节点四边形板单元。该元件为各种形状和边界条件提供高精度和快速收敛,优于低阶元件。采用Bolotin方法确定了非均匀压电偏斜纳米板的动态失稳区域。通过与已有数据的数值比较,验证了本文方法的准确性。此外,还全面评估了表面残余应力、外加电压、温度梯度、湿度、弹性基础刚度、厚度变化、倾斜角度、几何因素和边界条件等参数对倾斜纳米板自由振荡和稳定性的影响。鉴于纳米级制造的最新发展,本研究将提供物理见解,以模拟尺寸相关的多功能系统,以主动控制机械特性和机电能量收集。
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引用次数: 0
Thermo-hygro-induced energy harvesting from piezoelectric sandwich cylindrical microshells with honeycomb cores 蜂窝芯压电夹层圆柱微壳热湿致能量收集
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-23 DOI: 10.1007/s10999-025-09792-2
Pouyan Roodgar Saffari, Teerapong Senjuntichai, Peyman Roodgar Saffari, Suraparb Keawsawasvong

This study develops a comprehensive mathematical model for vibration-based energy harvesting in laminated bimorph cylindrical microshells with hexagonal honeycomb cores, subjected to nonlinear thermal gradients and moisture environments, and supported by a viscoelastic foundation. It is assumed that the sandwich microshell is subjected to various boundary conditions. The external layers use piezoelectric materials to improve energy conversion. First-order shear deformation theory (FSDT) and modified strain gradient theory (MSGT) are utilized to formulate size-dependent dynamic equations that incorporate microscale effects. The modified Gibson’s equation is used to estimate the material characteristics of the honeycomb core, which is considered a homogeneous orthotropic medium. Employing Hamilton’s principle and Gauss’s law, coupled electromechanical equations are derived to characterize the system’s dynamic behavior. Frequency response functions are found using analytical methods that correlate electrical power production with resistance to external loads. An extensive parametric study examines how energy harvesting efficiency is affected by geometric dimensions, length scale parameters, fluctuation of the temperature, variation of moisture, viscoelastic medium, parallel and series piezoelectric setups, boundary conditions, and honeycomb characteristics. The results provide important information for improving the design of nanoscale energy harvesters and their performance in viscoelastic and thermally dynamic environments.

本研究建立了一个综合的数学模型,用于在非线性热梯度和潮湿环境下,由粘弹性基础支撑的六边形蜂窝芯层合双晶圆微壳中基于振动的能量收集。假定夹层微壳受到各种边界条件的约束。外层使用压电材料来提高能量转换。利用一阶剪切变形理论(FSDT)和修正应变梯度理论(MSGT)建立了包含微尺度效应的尺寸相关动力学方程。将蜂窝芯视为均匀正交各向异性介质,利用修正的Gibson方程对蜂窝芯的材料特性进行了估计。利用哈密顿原理和高斯定律,推导了系统动力学特性的耦合机电方程。频率响应函数是用分析方法发现的,该方法将电力生产与对外部负载的阻力联系起来。一项广泛的参数研究考察了能量收集效率如何受到几何尺寸、长度尺度参数、温度波动、湿度变化、粘弹性介质、并联和串联压电装置、边界条件和蜂窝特性的影响。研究结果为改进纳米能量收集器的设计及其在粘弹性和热动态环境中的性能提供了重要信息。
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引用次数: 0
Double functionally graded porous resonator combining hollow microcore via nonlocal strain gradient approach for large adsorption of water molecules 通过非局部应变梯度方法结合空心微核的双功能梯度多孔谐振器用于大量吸附水分子
IF 3.6 3区 材料科学 Q2 ENGINEERING, MECHANICAL Pub Date : 2025-07-21 DOI: 10.1007/s10999-025-09797-x
Abir Lamari, Hicham Bourouina, Soumia Khouni, Yahia Maiza, Mohamed Mektout

This study utilizes the nonlocal strain gradient elasticity theory to investigate the dimensionless frequency shift caused by adsorption in a dynamic resonator system. The system consists of double functionally graded porous sandwich microbeams with a two-dimensional periodic square holes network, connected through an elastic medium and influenced by a magnetic field, compressive loading, and distributed water molecules. The double functional microbeams follow a power-law distribution for thickness-dependent properties, considering two porosity patterns. The impact of the applied magnetic field is analyzed using Maxwell’s equations. Nonlocal strain gradient elasticity theory is employed to capture small-scale effects. Both Euler–Bernoulli and Rayleigh beam theories are utilized to account for bending and rotary inertia effects. Interatomic interaction energies are modeled using Lennard–Jones (6–12), Morse, and Buckingham potentials, while perforation effects are incorporated into the equivalent bending stiffness. Analytical solutions are derived using the Navier-type method, and numerical solutions via the differential quadrature method. Results indicate that the dimensionless frequency shift is strongly influenced by porosity volume fraction and hole configuration. Water molecule adsorption reduces the frequency shift, while increases in magnetic field intensity and length-to-width ratio improve structural sensitivity. Additionally, both dimensionless compressive force and spring parameter introduce a softening effect, lowering system stiffness and amplifying the drop in dimensionless nonlocal frequency. A clear discrepancy between Euler–Bernoulli and Rayleigh model predictions highlights the role of rotary inertia. This model offers a comprehensive framework for designing advanced microresonators for nano/microscale sensing applications, such as mass detection and virus-induced frequency modulation.

本文利用非局部应变梯度弹性理论研究了动态谐振腔系统中吸附引起的无量纲频移。该系统由双功能梯度多孔夹层微梁组成,具有二维周期性方孔网络,通过弹性介质连接,受磁场、压缩载荷和分布的水分子的影响。考虑到两种孔隙模式,双功能微梁遵循厚度相关特性的幂律分布。利用麦克斯韦方程组分析了外加磁场的影响。采用非局部应变梯度弹性理论捕捉小尺度效应。欧拉-伯努利和瑞利光束理论都被用来解释弯曲和旋转惯性效应。原子间相互作用能使用Lennard-Jones(6-12)、Morse和Buckingham势进行建模,而射孔效应则被纳入等效弯曲刚度中。解析解采用navier型方法,数值解采用微分求积分法。结果表明,孔隙体积分数和孔隙结构对无量纲频移影响较大。水分子的吸附减少了频移,而磁场强度和长宽比的增加提高了结构灵敏度。此外,无量纲压缩力和弹簧参数都引入了软化效应,降低了系统刚度,放大了无量纲非局部频率的下降。欧拉-伯努利和瑞利模型预测之间的明显差异突出了旋转惯性的作用。该模型为设计先进的微谐振器提供了一个全面的框架,用于纳米/微尺度传感应用,如大规模检测和病毒诱导的频率调制。
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引用次数: 0
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International Journal of Mechanics and Materials in Design
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