Archive of Applied Mechanics最新文献_第6页

Numerical investigation on auxetic angle-ply CFRP composite laminates under low-velocity impact loading 低速冲击载荷下的辅助角层 CFRP 复合材料层压板数值研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-13 DOI: 10.1007/s00419-024-02687-2

Reza Saremian, Majid Jamal-Omidi, Jamasb Pirkandi

{"title":"Numerical investigation on auxetic angle-ply CFRP composite laminates under low-velocity impact loading","authors":"Reza Saremian, Majid Jamal-Omidi, Jamasb Pirkandi","doi":"10.1007/s00419-024-02687-2","DOIUrl":"10.1007/s00419-024-02687-2","url":null,"abstract":"<div><p>Materials with a negative Poisson’s ratio are known as auxetic materials, which are highly desirable for improved resistance to indentation and impact. Angle-ply composite laminates with high anisotropy exhibit auxetic behavior within a specific range of layup angles. In this research, the influence of negative Poisson’s ratio on the mechanical response and the enhancement of the damage behavior of carbon/epoxy composite laminates under low-velocity impact has been numerically investigated. For this purpose, a MATLAB code based on classical lamination theory relationships was developed to determine the range of layup angles to achieve both negative Poisson’s ratio in-plane and through-thickness (out-of-plane). Then, the layups with the most negative through-thickness and in-plane Poisson’s ratio values were selected. Also, two new stacking sequences were investigated so that both of them partially exhibited the characteristic of negative through-thickness and in-plane Poisson’s ratio. The progressive damage model is written and implemented using a computer code in the Abaqus user-material subroutine. The progressive damage model consists of Hashin and Puck failure criteria and the damage evolution model based on the equivalent strain method to predict the initiation and evolution of damage for matrix and fiber. The results indicate that the new laminate configurations have 66% higher effective longitudinal modulus and 173% higher effective transverse modulus compared to the in-plane and through-thickness auxetic ones, respectively. In addition, the proposed configurations showed less overall damage under low-velocity impact loading compared to the auxetic laminates. Based on the investigations, the new configurations with features such as high impact force, low impact time, and low maximum displacement could be suitable for use in structures with a hardwall design approach.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 12","pages":"3625 - 3646"},"PeriodicalIF":2.2,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181436","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 thermo-mechanical dynamic buckling and vibration of FG-GPLRC circular plates and shallow spherical shells resting on the nonlinear viscoelastic foundation 位于非线性粘弹性地基上的 FG-GPLRC 圆板和浅球壳的非线性热机械动态屈曲与振动

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-12 DOI: 10.1007/s00419-024-02691-6

Tien Tu Bui, Minh Duc Vu, Nhu Nam Pham, Van Doan Cao, Hoai Nam Vu

{"title":"Nonlinear thermo-mechanical dynamic buckling and vibration of FG-GPLRC circular plates and shallow spherical shells resting on the nonlinear viscoelastic foundation","authors":"Tien Tu Bui, Minh Duc Vu, Nhu Nam Pham, Van Doan Cao, Hoai Nam Vu","doi":"10.1007/s00419-024-02691-6","DOIUrl":"10.1007/s00419-024-02691-6","url":null,"abstract":"<div><p>This research aims to establish the semi-analytical approach for nonlinear dynamic buckling and vibration responses of functionally graded graphene platelet reinforced composite (FG-GPLRC) circular plates and spherical shells subjected to time-dependent radial pressure and thermal loads. The higher-order shear deformation theory with von Karman’s nonlinearities and the nonlinear viscoelastic foundation model is used to establish the expression of the fundamental equations of considered structures. The shells and plates are considered with clamped and immovable edge, and shallow curvature of the shells is applied. The Lagrange function is applied to establish the total energy of structures, and the potential function of viscous damping of the viscoelastic foundation is expressed using the Rayleigh dissipation function. The motion equation of the structures can be formulated using the Euler–Lagrange function. The dynamic responses are obtained using the numerical method, and the critical dynamic buckling loads are obtained using the dynamic buckling criterion of Budiansky–Roth. The large effects of material parameters, geometrical parameters, and nonlinear viscoelastic foundation on dynamic responses of considered structures are investigated and discussed in many numerical examples.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 12","pages":"3715 - 3729"},"PeriodicalIF":2.2,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181437","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

Study on the mechanical properties and energy absorption of Gyroid sandwich structures with different gradient rules 不同梯度规则的陀螺夹层结构的力学性能和能量吸收研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-11 DOI: 10.1007/s00419-024-02682-7

Bo Hao, Yuxin Zhao, Zhiming Zhu

{"title":"Study on the mechanical properties and energy absorption of Gyroid sandwich structures with different gradient rules","authors":"Bo Hao, Yuxin Zhao, Zhiming Zhu","doi":"10.1007/s00419-024-02682-7","DOIUrl":"10.1007/s00419-024-02682-7","url":null,"abstract":"<div><p>In the present study, a series of lattice structures with Gyroid minimal surfaces were meticulously designed to incorporate linear density gradients and two distinct trigonometric function-based density gradients. These advanced architectures were subsequently compared and contrasted with a uniform lattice sandwich structure. The mechanical behavior and energy absorption characteristics of the four lattice sandwich structures were rigorously investigated through a combination of experimental testing and finite element analysis (FEA). The results of this comprehensive analysis revealed that during compression, all four gradient lattice structures exhibited varying degrees of shear slip, which manifested as discernible discrepancies in their respective stress–strain curves. Relative to the uniform lattice structure, the linear gradient lattice sandwich structure exhibited an enhancement in elastic modulus by 1.69%, while the square sine function gradient lattice sandwich structure showed a significant increase of 14.45% in elastic modulus. Conversely, the square cosine function gradient lattice sandwich structure experienced a reduction in elastic modulus by 9.61%. Employing either a linear gradient or a square sine function density gradient design was found to augment the load-bearing capacity of the uniform lattice structure. Notably, when the strain in the uniform structure reached densification strain, it absorbed energy exceeding 5.842 MJ/m<sup>3</sup>, indicating superior energy absorption capabilities among the four structures examined, thus rendering it particularly suitable for applications where high energy absorption is imperative. Furthermore, finite element simulations were conducted to validate the experimental findings, and the simulation results demonstrated a high degree of correlation with the experimental data, with discrepancies less than 6%, thereby confirming the reliability of the FEA model in predicting the performance of these intricate lattice structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 11","pages":"3535 - 3553"},"PeriodicalIF":2.2,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181276","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

Reduced transfer equations of ball-and-socket joint elements incorporated with Euler parameters 包含欧拉参数的球窝关节元件的还原传递方程

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-11 DOI: 10.1007/s00419-024-02692-5

Xizhe Zhang, Xiaoting Rui, Jianshu Zhang, Feifei Chen, Guoping Wang

{"title":"Reduced transfer equations of ball-and-socket joint elements incorporated with Euler parameters","authors":"Xizhe Zhang, Xiaoting Rui, Jianshu Zhang, Feifei Chen, Guoping Wang","doi":"10.1007/s00419-024-02692-5","DOIUrl":"10.1007/s00419-024-02692-5","url":null,"abstract":"<div><p>The reduced multibody system transfer matrix method is a completely recursive method utilizing joint coordinates and applicable for evaluating the generalized accelerations of a multibody system at any given moment, provided that the generalized coordinates and velocities are known. For an open-loop multi-rigid-body system, the generalized coordinates of the system are composed of the generalized relative coordinates of the joint elements. Typically, for each joint element, the dimension of the generalized relative coordinates is equal to its relative motion degrees of freedom, leading to minimum dimension of the generalized coordinates of the system, which is equal to the degrees of freedom of the system. However, this may result in singularity for a ball-and-socket joint element when evaluating its generalized accelerations if any triad of Euler angles is utilized as its generalized relative coordinates. The tetrad Euler parameters are an alternative to Euler angles to resolve such a singular problem, which is a common practice in the dynamics approaches using body coordinates as generalized coordinates; nevertheless, it has not been observed in the completely recursive methods with joint coordinates. In this paper, the self-constraint equations of Euler parameters are taken into account to establish the corresponding reduced transfer equations characterized by a symmetric generalized inertial matrix, which are in completely recursive form. Fundamental numerical stability analyses are conducted via condition numbers of corresponding matrices, demonstrating that employing Euler parameters to describe the relative kinematics of a ball-and-socket joint element enhances numerical stability compared to Euler angles.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 12","pages":"3731 - 3751"},"PeriodicalIF":2.2,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181316","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

Fractional mass-spring system with damping and driving force for modified non-singular kernel derivatives 带阻尼和驱动力的分数质量弹簧系统的修正非星形内核导数

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-10 DOI: 10.1007/s00419-024-02676-5

H. Yépez-Martínez, Mustafa Inc, Bassem F. Felemban, Ayman A. Aly, J. F. Gómez-Aguilar, Shahram Rezapour

{"title":"Fractional mass-spring system with damping and driving force for modified non-singular kernel derivatives","authors":"H. Yépez-Martínez, Mustafa Inc, Bassem F. Felemban, Ayman A. Aly, J. F. Gómez-Aguilar, Shahram Rezapour","doi":"10.1007/s00419-024-02676-5","DOIUrl":"10.1007/s00419-024-02676-5","url":null,"abstract":"<div><p>The aim of the present work is to discuss the fractional mass-spring system with damping and driving force, considering a simple modification to the fractional derivatives with a non-singular kernel of the Atangana–Baleanu and Caputo–Fabrizio types. We introduce two novel modified fractional derivatives that offer advantages when the fractional differential equations involve higher-order fractional derivatives of order <span>(1+alpha )</span> or <span>(alpha +1)</span>, with <span>(0<alpha <1)</span>. Previous definitions of fractional derivatives with non-singular kernel do not have a unique definition, leading to significant inconsistencies. One of the main results of the present work is that the proposed modifications provide a unique result for the fractional-order derivatives <span>(1+alpha )</span> and <span>(alpha +1)</span>. Additionally, we apply these two novel fractional derivatives to the fractional mass-spring system with damping and driving force. In the case of the modified Caputo–Fabrizio fractional derivative, novel analytical solutions have been constructed, showing interesting oscillating time evolution with a transient term not previously reported. This transient term features an initial nonzero oscillating return away from the equilibrium position. For the modified Atangana–Baleanu fractional derivative, the numerical solutions also exhibit this nonzero oscillating return away from the equilibrium position. These results are not present when using the Caputo singular kernel derivative, as demonstrated in the comparison figures reported here.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 11","pages":"3405 - 3428"},"PeriodicalIF":2.2,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181454","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

The vibration isolation and sound radiation reduction characteristic of the micro-floating raft array skin 微型浮筏阵列表皮的隔振和减少声辐射特性

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-09-03 DOI: 10.1007/s00419-024-02681-8

Qiong Wu, Dan Zhao, Liqiang Dong, Jin Cui, Hong Guo, Jiang Li, Shaogang Liu

{"title":"The vibration isolation and sound radiation reduction characteristic of the micro-floating raft array skin","authors":"Qiong Wu, Dan Zhao, Liqiang Dong, Jin Cui, Hong Guo, Jiang Li, Shaogang Liu","doi":"10.1007/s00419-024-02681-8","DOIUrl":"10.1007/s00419-024-02681-8","url":null,"abstract":"<div><p>The control of the drag, noise, and vibration of underwater vehicles has always been a hot topic, causing the study of skin with multiple functions to become a development trend. In the present paper the vibration isolation and sound radiation reduction characteristic of a multiple functions skin, micro-floating raft array skin (MFRAS), are assessed by a mathematical model. The mathematical model is developed based on the thin plate theory and the effective medium theory and validated by the finite element model and reference. The structural parameters of MFRAS have been discussed and optimized by orthogonal experiment design with the evaluation index, the average value of the mean square velocity level. The results show that the MFRAS can isolate the vibration transmission of internal equipment by mismatched impedance between MFRAS and plate, and then reduce the sound radiation. The optimized MFRAS can reduce the mean square velocity level by 1.35 dB and the sound radiation power level by 2.47 dB within the frequency range of 10–2000 Hz compared with the equal weight free damping layer.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 11","pages":"3521 - 3534"},"PeriodicalIF":2.2,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181467","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 reduced-order finite element formulation for the geometrically nonlinear dynamic analysis of viscoelastic structures based on the fractional-order derivative constitutive relation 基于分数阶导数构成关系的粘弹性结构几何非线性动态分析的降阶有限元计算方法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-08-27 DOI: 10.1007/s00419-024-02680-9

Rajidi Shashidhar Reddy, Satyajit Panda

{"title":"A reduced-order finite element formulation for the geometrically nonlinear dynamic analysis of viscoelastic structures based on the fractional-order derivative constitutive relation","authors":"Rajidi Shashidhar Reddy, Satyajit Panda","doi":"10.1007/s00419-024-02680-9","DOIUrl":"10.1007/s00419-024-02680-9","url":null,"abstract":"<div><p>In this paper, a formulation of reduced-order finite element (FE) model is presented for geometrically nonlinear dynamic analysis of viscoelastic structures based on the fractional-order derivative constitutive relation and harmonic balance method. The main focus is to formulate the nonlinear reduced-order models (ROMs) in the time and frequency domain without involving the corresponding full-order FE models, and it is carried out by means of a special factorization of the nonlinear strain–displacement matrix. Furthermore, a methodology for the enrichment of reduction basis (RB) over that obtained from conventional approaches is presented where the proper orthogonal decomposition method is utilized by comprising the correlation matrix as the union of stiffness-normalized reduction basis vectors and the corresponding static derivatives. The results reveal a significantly reduced computational time due to the formulation of the nonlinear ROMs without involving the full-order FE model. A good accuracy of the nonlinear ROMs of viscoelastic structures is also achieved through the present method of enrichment of RB.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 11","pages":"3489 - 3519"},"PeriodicalIF":2.2,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181277","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

Mechanic-electro coupling overlapping finite element method for piezoelectric structures 压电结构的机电耦合重叠有限元法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-08-23 DOI: 10.1007/s00419-024-02677-4

Liming Zhou, Yanzhe Wang, Yingbin Chai

{"title":"Mechanic-electro coupling overlapping finite element method for piezoelectric structures","authors":"Liming Zhou, Yanzhe Wang, Yingbin Chai","doi":"10.1007/s00419-024-02677-4","DOIUrl":"10.1007/s00419-024-02677-4","url":null,"abstract":"<div><p>The mechanic-electro coupling overlapping finite element method (OFEM) is proposed to improve the accuracy in solving the mechanical characteristics of piezoelectric structures. Based on the basic equations and boundary conditions of piezoelectric materials, overlapping triangle elements are used to discretize the solution domain of piezoelectric structures, and the displacement function and potential function of the mechanic-electro coupling OFEM are constructed through local interpolation. The control equation of the mechanic-electro coupling OFEM is derived using the variation principle. The accuracy and validity of this method are verified by comparing with the reference solution and analytical solution in patch test and piezoelectric patch bending test. The static characteristics of the cantilever-typed piezoelectric sensor model, the rectangular plate with one-sided piezoelectric patch configuration, and the hole-containing piezoelectric energy harvester model are analyzed. The mechanic-electro coupling OFEM has high engineering value and broad application prospects in analyzing the structural mechanical properties of intelligent piezoelectric components.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 11","pages":"3429 - 3454"},"PeriodicalIF":2.2,"publicationDate":"2024-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142181278","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

Mathematical modeling of free vibration of star-shaped auxetic rectangular plate 星形辅助矩形板自由振动的数学建模

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-08-21 DOI: 10.1007/s00419-024-02678-3

N. Mohandesi, M. Talebitooti, M. Fadaee

引用次数: 0

Buckling and post-buckling behavior of nano-laminates considering surface effects 考虑表面效应的纳米层压板的屈曲和屈曲后行为

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2024-08-20 DOI: 10.1007/s00419-024-02679-2

Jie Wang, Junhua Xiao, Xiaodong Xia

引用次数: 0