Mechanics Research Communications最新文献_第2页

On aspects of continualization of 2D lattices antiplane dynamical problem 二维格反平面动力学问题的连续化问题

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-07-09 DOI: 10.1016/j.mechrescom.2025.104480

Igor V. Andrianov , Lelya A. Khajiyeva , Askar K. Kudaibergenov , Galina A. Starushenko

{"title":"On aspects of continualization of 2D lattices antiplane dynamical problem","authors":"Igor V. Andrianov , Lelya A. Khajiyeva , Askar K. Kudaibergenov , Galina A. Starushenko","doi":"10.1016/j.mechrescom.2025.104480","DOIUrl":"10.1016/j.mechrescom.2025.104480","url":null,"abstract":"<div><div>This paper is devoted to the continualization of a 2D lattice. PDEs describing the standard long-wavelength continuous approximation, π-vibrational modes in the <em>x</em>- and <em>y</em>-directions, and π – π-vibrational mode are derived. These limiting cases are used when constructing an asymptotically equivalent continuous approximation described by the model with modified inertia. The principle of asymptotic equivalence is reduced to the requirement that the solutions of the dispersion equations of the original lattice model and the improved continuous model coincide when the limiting cases are considered. It is worth noting that the second-order PDE with respect to the spatial variables is obtained. In this regard, its use in a finite region does not require the formulation of additional boundary conditions. The improved continuous approximation provides a sufficiently accurate description of the frequency spectrum throughout the entire first Brillouin zone. The kinetic and elastic potential energy densities of this model are positive definite. The positive definiteness of the elastic potential energy density allows for the application of this model in static problems. To assess the accuracy of the obtained continuous approximation and the range of its applicability, 3D visualizations comparing various models, as well as 2D sectional views of these 3D plots are presented. Moreover, additional criteria for assessing the accuracy of the continuous approximation (the coefficient of determination, residual variance, relative mean squared and absolute errors) are provided.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104480"},"PeriodicalIF":1.9,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144670661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Numerical and experimental study of layered beams with vibration-damping coatings for improved vibration mitigation 具有减振涂层的层状梁的数值与实验研究

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-07-07 DOI: 10.1016/j.mechrescom.2025.104476

Vibhooti Narayan Mishra , Abhay Gupta , Saroj Kumar Sarangi

{"title":"Numerical and experimental study of layered beams with vibration-damping coatings for improved vibration mitigation","authors":"Vibhooti Narayan Mishra , Abhay Gupta , Saroj Kumar Sarangi","doi":"10.1016/j.mechrescom.2025.104476","DOIUrl":"10.1016/j.mechrescom.2025.104476","url":null,"abstract":"<div><div>Constrained Layer Damping (CLD) treatments using viscoelastic materials (VEM) are commonly employed to control vibration in automotive and aerospace applications. Special damped laminates and sandwich structures, along with vibration-damping compound sprays, provide effective solutions for mitigating unwanted vibrations and noise. The challenge in composite design lies in minimizing the added weight and material costs while achieving the desired damping performance. In this study, a vibration-damping compound is introduced as a structural solution for vibration reduction. This compound can be easily applied by spraying onto surfaces that further absorb/dissipate vibration and reduce the resonance effects. The proposed composite material comprises a VEM core sandwiched between aluminum face layers, coated with a high-damping compound spray. This innovative design establishes a new standard for low-weight, cost-effective, high-performance sound-damping materials. By replacing traditional materials such as rubbers and foams, the composite significantly reduces weight and cost while maintaining superior damping performance. The dynamic finite element (FE) analysis of the damping treatment arrangement demonstrates an enhancement in damping characteristics. Experimental modal analysis is done to measure the damping performance and natural frequencies for various coating thicknesses. The results show a significant improvement in damping, offering a promising solution for vibration control in structural applications, particularly for industries requiring lightweight, cost-effective materials without compromising performance.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104476"},"PeriodicalIF":1.9,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Integrated design of tensile membrane structures using scientific machine learning including wrinkling considerations 使用科学机器学习的拉伸膜结构集成设计，包括起皱考虑

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-07-05 DOI: 10.1016/j.mechrescom.2025.104468

Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh

{"title":"Integrated design of tensile membrane structures using scientific machine learning including wrinkling considerations","authors":"Sounak Kabasi , Allan L. Marbaniang , Siddhartha Ghosh","doi":"10.1016/j.mechrescom.2025.104468","DOIUrl":"10.1016/j.mechrescom.2025.104468","url":null,"abstract":"<div><div>Tensile membrane structures (TMS) are extremely popular these days owing to their aesthetic appeal, lightweight and their ability to cover large expansive areas. However, the design of TMS involves two computationally challenging steps: (a) form-finding — to find the initial equilibrium shape subjected to the given prestress and boundary conditions and (b) Load analysis — to determine whether the obtained form can resist design loads. Furthermore, the membrane wrinkling phenomena causes even more difficulties in load analysis frameworks. Traditional mesh-based analysis frameworks suffer from ill-conditioned stiffness matrix and convergence issues that can arise due to wrinkling. Hence, in this study a mesh-less framework for load analysis is proposed by posing the load analysis problem as a direct energy minimization problem and solving it using a Quasi Newton optimizer. Modified potential energy formulations for wrinkling considerations incorporated in the mesh-free approach are also proposed. The analysis is performed by employing gradient-enhanced physics-informed neural networks (gPINN) aided by the theory of functional connections (TFC) ensuring kinetically admissible field variables without the requirement of an additional loss function for enforcing the essential boundary conditions. The analysis framework eliminates the requirement of calculation of an explicit stiffness matrix and the penalty parameter as well. Additionally, a vectorized implementation is incorporated, making the proposed approach computationally feasible. Finally, an integrated sequential form-finding and load analysis framework for seamless design and analysis of frame-supported and cable-supported TMS is proposed. Extensive numerical case studies are performed to test the efficacy of the proposed framework. The computational efficiency of the proposed method in comparison to a traditional mesh-based method is also noted.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104468"},"PeriodicalIF":1.9,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144563423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Transverse vibration of an embedded nanotube made of functionally graded porous material based on NSGT 基于NSGT的功能梯度多孔材料嵌入纳米管的横向振动

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-07-04 DOI: 10.1016/j.mechrescom.2025.104478

Murat Akpınar, Büşra Uzun, Mustafa Özgür Yaylı

{"title":"Transverse vibration of an embedded nanotube made of functionally graded porous material based on NSGT","authors":"Murat Akpınar, Büşra Uzun, Mustafa Özgür Yaylı","doi":"10.1016/j.mechrescom.2025.104478","DOIUrl":"10.1016/j.mechrescom.2025.104478","url":null,"abstract":"<div><div>The present work focuses on examining the transverse vibration behavior of a functionally graded porous nanotube resting on a Winkler–Pasternak elastic foundation, incorporating size-dependent effects and deformable boundary conditions. An analytical approach based on nonlocal strain gradient theory is adopted, which accounts for small-scale effects through two distinct size parameters—one with a strengthening effect and the other with a weakening effect. For the first time, deformable boundary conditions are considered the functionally graded porous nanotube in this context. An eigenvalue problem is formulated using the Stokes' transform, with constant coefficients assigned to the springs, along with Winkler–Pasternak foundation coefficients, material properties, and scale parameters. The resulting characteristic equation is solved analytically for various values of foundation stiffness, elastic spring parameters, strain gradient, and nonlocal effects to determine the system’s vibration frequencies. A comparative assessment with earlier research is conducted to validate the findings, confirming their accuracy. Then, the effects of small-scale parameters, volume fraction index, deformable boundaries, elastic foundation, rotary inertia and porosity density are discussed.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104478"},"PeriodicalIF":1.9,"publicationDate":"2025-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144631540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Vibrational resonance in nonlinear vibration isolation systems 非线性隔振系统的振动共振

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-29 DOI: 10.1016/j.mechrescom.2025.104470

T.O. Roy-Layinde , K.A. Omoteso , J.A. Laoye , U.H. Diala

引用次数: 0

On a generalized principle of fractal stiffness self-similarity 分形刚度自相似的广义原理

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-27 DOI: 10.1016/j.mechrescom.2025.104447

Marcelo Epstein

引用次数: 0

Dynamic perforation behavior of closed-cell aluminium foams and foam core sandwich panels with various shaped projectile tips 不同形状弹尖闭孔泡沫铝及泡沫芯夹芯板的动力穿孔行为

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-26 DOI: 10.1016/j.mechrescom.2025.104472

M.A. Islam , M.A. Kader , J.P. Escobedo

{"title":"Dynamic perforation behavior of closed-cell aluminium foams and foam core sandwich panels with various shaped projectile tips","authors":"M.A. Islam , M.A. Kader , J.P. Escobedo","doi":"10.1016/j.mechrescom.2025.104472","DOIUrl":"10.1016/j.mechrescom.2025.104472","url":null,"abstract":"<div><div>This paper investigates the shape effects of projectile tips on the perforation behavior of closed-cell aluminium foams and foam core sandwich panels under low velocity impact. The density and thickness of the selected foam were 0.5 g/cc and 21 mm, respectively. The thickness of the aluminium face sheets used in the sandwich panel was 1 mm. The impact perforation experiments were conducted using fifteen additively manufactured aluminium alloy projectile tips of various cone angles and geometrical shapes. The tests were carried out using an instrumented drop tower with an impact velocity of 6 ms<sup>-1</sup> (impact energy 105 J) for the foam panels and 10 ms<sup>-1</sup> (impact energy 274 J) for the foam core sandwich panels. The impact responses of the foams and foam core sandwich panels, such as perforation resistance force, perforation energy absorption, and failure modes for the studied projectile tips, were investigated. The results indicate that the projectile tip shape and angle have an influence on the impact responses of foams and foam core sandwich panels. The highest peak force and energy absorption enhancement are observed for the pencil and cone-type projectile, respectively, for changing the angles from 20° to 30°. An approximately three-fold rise in energy absorption is observed for the sandwich panels because of the additional force required to perforate the face sheets.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104472"},"PeriodicalIF":1.9,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517654","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Post-critical behavior of cantilever simply supported beam on an elastic foundation 弹性基础上悬臂简支梁的后临界性能

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-24 DOI: 10.1016/j.mechrescom.2025.104469

Sanja J. Mihok, Armin D. Berecki, Lidija Z. Rehlicki Lukešević

引用次数: 0

Mathematical solutions for moving generalized electric-magnetic-polarization saturation models in magneto-electro-elastic materials via weight functions 磁-电弹性材料中运动广义电-磁极化饱和模型的权函数解

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-21 DOI: 10.1016/j.mechrescom.2025.104464

Sandeep Singh

{"title":"Mathematical solutions for moving generalized electric-magnetic-polarization saturation models in magneto-electro-elastic materials via weight functions","authors":"Sandeep Singh","doi":"10.1016/j.mechrescom.2025.104464","DOIUrl":"10.1016/j.mechrescom.2025.104464","url":null,"abstract":"<div><div>This work presents an advanced analytical framework for solving moving generalized electric-magnetic-polarization saturation models in magneto-electro-elastic materials. The core methodology employs a weight function approach, which serves as a kernel to map applied electro-mechanical loads to stress intensity factors. The derivation involves solving boundary conditions using the crack opening displacement solution. A key contribution is the generalized strip yield model introduces a non-linear function <span><math><mrow><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> in the form <span><math><mrow><mo>(</mo><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>=</mo><mfrac><mrow><mrow><mo>|</mo><msup><mrow><mi>x</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>|</mo></mrow></mrow><mrow><msup><mrow><mi>b</mi></mrow><mrow><mi>n</mi></mrow></msup></mrow></mfrac><msub><mrow><mi>D</mi></mrow><mrow><mi>s</mi></mrow></msub><mo>)</mo></mrow></math></span>. This allows flexibility in modeling saturation effects under varying displacement fields. Different <span><math><mrow><mi>n</mi><mo>−</mo></mrow></math></span> values correspond to different material responses, enabling the model to capture a range of non-linear behaviors. Validate the generalized strip yield model’s results by comparing them with solutions obtained via the stress function approach. Perform simulations to study crack-face boundary conditions under prescribed electro-mechanical loading. The results illustrate how SIFs vary with the size of the induction zone, saturation parameters, and the applied electro-mechanical fields. The agreement between the generalized model and direct analytical methods supports its accuracy.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104464"},"PeriodicalIF":1.9,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144364376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Vibration analysis of functionally graded nanobeam in thermal environment 热环境下功能梯度纳米梁的振动分析

IF 1.9 4区工程技术

Mechanics Research Communications Pub Date : 2025-06-19 DOI: 10.1016/j.mechrescom.2025.104471

Chen Chen, Haowen Yan

{"title":"Vibration analysis of functionally graded nanobeam in thermal environment","authors":"Chen Chen, Haowen Yan","doi":"10.1016/j.mechrescom.2025.104471","DOIUrl":"10.1016/j.mechrescom.2025.104471","url":null,"abstract":"<div><div>Functionally graded (FG) nanobeams, as a key application of functionally graded materials (FGMs), demonstrate unique thermomechanical properties that make them particularly suitable for Micro-electromechanical Systems (MEMS) and other nanoscale applications. This study presents an analytical approach for investigating their vibration characteristics under linear and nonlinear temperature fields. The model integrates Euler–Bernoulli beam theory with nonlocal elasticity theory, thereby simultaneously capturing material gradation effects and size-dependent phenomena. A novel analytical framework is developed by applying the transfer function method (TFM) for the first time to the nonlocal Euler–Bernoulli beam model, enabling efficient analytical solution for natural frequencies. Unlike traditional numerical methods, the proposed method enhances computational efficiency and allows unified treatment of various boundary conditions. Numerical studies are conducted to comprehensively evaluate the effects of environment fields, constituent volume distribution, slenderness ratio, nonlocal parameters, and boundary conditions on the vibration behavior of FG nanobeams. The results offer valuable insights for the design and optimization of MEMS devices, thermally stressed aerospace components, and microscale biomedical structures operating in complex thermal environments.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"148 ","pages":"Article 104471"},"PeriodicalIF":1.9,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144489417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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