Journal of Applied Mechanics最新文献_第2页

Critical Velocities of Single-layer and Two-layer Composite Tubes of Transversely Isotropic Materials Based on a Potential Function Method in 3-D Elasticity 基于三维弹性势函数法的横向各向同性材料单层和双层复合管的临界速度

Journal of Applied Mechanics Pub Date : 2024-05-21 DOI: 10.1115/1.4065567

Xin-Lin Gao

{"title":"Critical Velocities of Single-layer and Two-layer Composite Tubes of Transversely Isotropic Materials Based on a Potential Function Method in 3-D Elasticity","authors":"Xin-Lin Gao","doi":"10.1115/1.4065567","DOIUrl":"https://doi.org/10.1115/1.4065567","url":null,"abstract":"\u0000 Critical velocities of a single-layer tube of a transversely isotropic material and a two-layer composite tube consisting of two perfectly-bonded cylindrical layers of dissimilar transversely isotropic materials are analytically determined using the potential function method of Elliott in three-dimensional (3-D) elasticity. The displacement and stress components in each transversely isotropic layer of the tube subjected to a uniform internal pressure moving at a constant velocity are derived in integral forms by applying the Fourier transform method. The solution includes those for a tube composed of two dissimilar cubic or isotropic materials as special cases. In addition, it is shown that the model for the two-layer composite tube can be reduced to that for the single-layer tube. Closed-form expressions for four critical velocities are derived for the single-layer tube. The lowest critical velocity is obtained from plotting the velocity curve and finding the inflection point for both the single-layer and two-layer composite tubes. To illustrate the newly developed models, two cases are studied as examples – one for a single-layer isotropic steel tube and the other for a two-layer composite tube consisting of an isotropic steel inner layer and a transversely isotropic glass-epoxy outer layer. The numerical values of the lowest critical velocity predicted by the new 3-D elasticity-based models are obtained and compared with those given by existing models based on thin- and thick-shell theories.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"85 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141116423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Theoretical analysis for the mechanical properties of the knitted structures 针织结构机械性能的理论分析

Journal of Applied Mechanics Pub Date : 2024-05-06 DOI: 10.1115/1.4065476

Dongcan Ji, Shaotong Dong, Yunfan Zhu, Min Li, Xuanqing Fan, Yuhang Li

{"title":"Theoretical analysis for the mechanical properties of the knitted structures","authors":"Dongcan Ji, Shaotong Dong, Yunfan Zhu, Min Li, Xuanqing Fan, Yuhang Li","doi":"10.1115/1.4065476","DOIUrl":"https://doi.org/10.1115/1.4065476","url":null,"abstract":"\u0000 Knitting is a technology that has a thousand-year-old history, and can be normally seen in our daily lives. The knitted structure is constructed by the interwoven yarns that constrained by themselves, exhibiting extreme stretchability. The mechanical properties of the knit fabric also enable their integration with the flexible electronic devices. Nonetheless, it is yet problematic to expose the mechanical behaviors of knitting intrinsically. This paper investigates the mechanical characteristics of knitted structures subjected to uniaxial stretching. The analysis includes a structural assessment of the unit cell, with a focus on half of the cell accounting for symmetry. Mechanical analysis for three distinct scenarios (without elongation and friction, with elongation and no friction, with elongation and friction) is also presented. The stress-strain curve of the knitted structure and the correlation between stiffness and geometric parameters are illustrated. Additionally, simulations are carried out based on finite element analysis, yielding consistent results with the theoretical calculations. Subsequently, a uniaxial stretching experiment is conducted, and the experimental outcomes also verifies the theoretical analysis. Our analysis successfully explains the mechanical behavior of knitted structures, and also provides a reference for studying knitted fabrics with other topologies.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"54 s58","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141009223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Variational integrators on manifolds for constrained mechanical systems 受约束机械系统流形上的变分积分器

Journal of Applied Mechanics Pub Date : 2024-05-06 DOI: 10.1115/1.4065477

Ziying Lin, Hongcheng Li, Ye Ding, Xiangyang Zhu

引用次数: 0

An incremental interpolation scheme with discrete cosine series expansion for multi-material topology optimization 用于多材料拓扑优化的离散余弦数列展开增量插值方案

Journal of Applied Mechanics Pub Date : 2024-04-25 DOI: 10.1115/1.4065404

Zhanyu Wang, Xiaonan Hu, Hongyan Wang, Qingliang Zeng, Renheng Bo, Daining Fang

引用次数: 0

SUPG-Based Finite Element Method for Direct Material Property Determination Utilizing Full-Field Deformation Measurements 利用全场变形测量直接确定材料特性的基于 SUPG 的有限元方法

Journal of Applied Mechanics Pub Date : 2024-04-17 DOI: 10.1115/1.4065337

Sreehari Rajan Kattil, Yuri Bazilevs, Michael A. Sutton, S. Sockalingam, Karan Kodagali, Tusit Weerasooriya, S. Alexander

{"title":"SUPG-Based Finite Element Method for Direct Material Property Determination Utilizing Full-Field Deformation Measurements","authors":"Sreehari Rajan Kattil, Yuri Bazilevs, Michael A. Sutton, S. Sockalingam, Karan Kodagali, Tusit Weerasooriya, S. Alexander","doi":"10.1115/1.4065337","DOIUrl":"https://doi.org/10.1115/1.4065337","url":null,"abstract":"\u0000 A direct approach is developed using Streamline Upwind Petrov Galerkin (SUPG) concepts to determine the spatially varying property distribution in a nominally heterogenous material. The approach is based on successful development of a SUPG-stabilized inverse finite element approach to solve the differential equations of equilibrium in terms of material properties, resulting in a matrix form [A] {E} = {R}, where [A] is a known function of measured axial strains (e.g., from StereoDIC) and axial positions, {R} is a known function of axial body forces, applied loads and reactions, and {E} is a vector of unknown material properties at discrete axial locations. Theoretical and computational developments for the SUPG-stabilized approach are described in detail for one-dimensional applications (e.g., heterogeneous tensile/compression specimens, tensile/compressive surfaces of beams). Property predictions using the SUPG method with analytic strains and additive Gaussian noise are shown to be in excellent agreement with known property values, whereas predictions using the classical Bubnov-Galerkin method exhibit large, spurious oscillations in the predicted material properties. To demonstrate the methodology using experimental measurements, a 3D printed heterogeneous tensile specimen with independently measured material properties is tested and full-field strains measured at several load levels. Results confirm that SUPG finite element property predictions are in very good agreement with independently determined values at each load level along the specimen length, providing confidence that the SUPG FE analysis framework developed in this work is stable and extendable to multiple dimensions.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":" 72","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140691941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Enhancing the mobility of small-scale robots via nonlinear structural springs exhibiting negative stiffness 通过表现出负刚度的非线性结构弹簧增强小型机器人的移动能力

Journal of Applied Mechanics Pub Date : 2024-04-17 DOI: 10.1115/1.4065339

Yujia Zhang, Jiajia Shen, Yao Yan, Jingzhong Tong, Lei Zhang, Yang Liu

{"title":"Enhancing the mobility of small-scale robots via nonlinear structural springs exhibiting negative stiffness","authors":"Yujia Zhang, Jiajia Shen, Yao Yan, Jingzhong Tong, Lei Zhang, Yang Liu","doi":"10.1115/1.4065339","DOIUrl":"https://doi.org/10.1115/1.4065339","url":null,"abstract":"\u0000 Compared to traditional robotic systems, small-scale robots, ranging from several millimetres to micrometres in size, are capable of reaching narrower and vulnerable regions with minimal damage. However, conventional small-scale robots' limited maneuverability and controlability hinder their ability to effectively navigate in the intricate environments, such as the gastrointestinal tract. Self-propelled capsule robots driven by vibrations and impacts emerge as a promising solution, holding the potentials to enhance diagnostic accuracy, enable targeted drug delivery, and alleviate patient discomfort during gastrointestinal endoscopic procedures. This paper builds upon our previous work on self-propelled capsule robots, exploring the potential of nonlinear connecting springs to enhance its propulsion capabilities. Leveraging a mathematical model for self-propelling robots with a von Mises truss spring, which is verified using a finite element model, we investigate the effects of negative stiffness and snap-back within the nonlinear structural spring on the robots' propelling speed. Our analysis reveals that the negative stiffness of the von Mises truss can significantly reduce the sensitivity of the propelling speed to excitation frequency. As a result, the capsule robot exhibits a remarkably wider operational band where it maintains a high average propelling speed, surpassing its linear counterpart. This work sheds light on the potential for developing customised nonlinear structural systems for diverse scenarios in small-scale robot applications, opening up new possibilities for enhanced functionality and maneuverability in various biomedical applications.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":" 23","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140690360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Separation Modeling Method for Morphing QUAV: Analytical Solutions for Constraint Forces Under Deformation 变形 QUAV 的分离建模方法：变形下约束力的分析解决方案

Journal of Applied Mechanics Pub Date : 2024-04-17 DOI: 10.1115/1.4065340

Fangfang Dong, Baotao Yuan, Xiaomin Zhao, Ye-Hwa Chen, Shan Chen

{"title":"A Separation Modeling Method for Morphing QUAV: Analytical Solutions for Constraint Forces Under Deformation","authors":"Fangfang Dong, Baotao Yuan, Xiaomin Zhao, Ye-Hwa Chen, Shan Chen","doi":"10.1115/1.4065340","DOIUrl":"https://doi.org/10.1115/1.4065340","url":null,"abstract":"\u0000 A morphing quadrotor unmanned aerial vehicle (QUAV) possesses the remarkable ability to alter its shape, enabling it to navigate through gaps smaller than its wingspan. However, these deformations result in changes to the system's center of gravity and moment of inertia, necessitating real-time computation of each state's variations. To address this challenge, we propose a dynamic modeling approach based on the Udwadia-Kalaba (U-K) method. The morphing QUAV is divided into three separate subsystems, with the dynamic modeling for each subsystem conducted independently. Subsequently, the QUAV's deformation states and inherent structure are introduced in the form of constraints, and the constrained forces are derived using the U-K equation. By combining these analytical solutions, the model of the QUAV under continuous deformation is obtained. This approach effectively simplifies the modeling computations caused by changes in the system's center of gravity and moment of inertia during deformation. A control approach is proposed to achieve attitude stabilization and altitude control for the morphing QUAV. Ultimately, the stable motion of the morphing QUAV is validated through numerical simulations.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":" 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140692795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Constitutive Law Modelling the Mixed Hardening Behavior of Particle-Reinforced Composites 颗粒增强复合材料混合硬化行为建模构造法则

Journal of Applied Mechanics Pub Date : 2024-04-03 DOI: 10.1115/1.4065253

Ruo Jing Zhang, Yan Liu

引用次数: 0

Temperature Field Around Nearly Spherical Cavities in Uniform Heat Flow 均匀热流中近球形空腔周围的温度场

Journal of Applied Mechanics Pub Date : 2024-04-01 DOI: 10.1115/1.4065208

Mujibur Rahman

引用次数: 0

Self-equilibrium analysis and minimal mass design of tensegrity prism units 张弦棱柱单元的自平衡分析和最小质量设计

Journal of Applied Mechanics Pub Date : 2024-03-28 DOI: 10.1115/1.4065202

Ziying Cao, A. Luo, Yaming Feng, Heping Liu

{"title":"Self-equilibrium analysis and minimal mass design of tensegrity prism units","authors":"Ziying Cao, A. Luo, Yaming Feng, Heping Liu","doi":"10.1115/1.4065202","DOIUrl":"https://doi.org/10.1115/1.4065202","url":null,"abstract":"\u0000 In this paper, a specific analysis strategy for tensegrity prism units with different complexities and different connectivity is provided. Through the nodal coordinate matrix and connectivity matrix, the equilibrium equation of the structure in self-equilibrium is established, and the equilibrium matrix can be obtained. The Singular Value Decomposition (SVD) method can be used to find the self-equilibrium configuration. The expression of the torsional angle between the upper and bottom surfaces of the prismatic tensegrity structure, which includes complexity and connectivity, can be obtained through the SVD form-finding method. According to the torsional angle formula of the stable configuration, the mechanical analysis of the single node is carried out, and the force density relationship between elements is gained. The mass, as one of the standards, can be used to evaluate the light structure. This paper also studied the minimal mass of the self-equilibrium tensegrity structure with the same complexity in different connectivity and got the minimal mass calculation formula. The six-bar tensegrity prism unit, including the topology, the force density relationship, the rest length of the element, and the minimal mass with constraints (cables yield, bars yield or buckle), is investigated in this work, which shows the feasibility of systematic analysis of prismatic structures. This paper provides a theoretical reference for prismatic tensegrity units.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"100 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140370485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0