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Frontiers of Mathematics in China 2021年第4期16卷 997-1021页

作者： Wenjun LIU Weifan ZHAO School of Mathematics and Statistics Nanjing University of Information Science and TechnologyNanjing 210044China

We study the well-posedness and decay properties of a one-dimensional thermoelastic laminated beam system either with or without structural damping,of which the heat conduction is given by Fourier's law effective in the rotation angle *** show that the system is well-posed by using the Lumer-Philips theorem,and prove that the system is exponentially stable if and only if the wave speeds are equal,by using the perturbed energy method and Gearhart-Herbst-Prüss-Huang ***-more,we show that the system with structural damping is polynomially stable provided that the wave speeds are not equal,by using the second-order energy *** the speeds are not equal,whether the system without structural damping may has polynomial stability is left as an open problem.

关键词： laminated beam Fourier’s law exponential stability lack of exponential stability polynomial stability

Global Solution and Exponential Stability for a laminated beam with Fourier Thermal Law

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Journal of Partial Differential Equations 2020年第2期33卷 143-157页

作者： RAPOSO C. NONATO C. VILLAGRAN O. CHUQUIPOMA J. Departamen of Mathematics Federal University of S(a)o Jo(a)o del-ReiBrazil Department of Mathematics Federal University of BahiaBrazil Department of Mathematics Universidad del Bío-BíoChile

This paper focuses on the long-time dynamics of a thermoelastic laminated beam modeled from the well-established Timoshenko *** mathematical point of view,the study system consists of three hyperbolic motion equations coupled with the parabolic equation governed by Fouriers law of heat conduction and,in consequence,does not belong to one of the classical categories of *** have proved the well-posedness and exponential stability of the *** well-posedness is given by Hille-Yosida *** the exponential decay we applied the energy method by introducing a Lyapunov functional.

关键词： Global solution laminated beam Timoshenko thermoelasticity energy method

The Wave Propagation Characteristics of laminated beam Subjected to Impact of Particle with a Lower Velocity

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The Wave Propagation Characteristics of Laminated Beam Subje...

Haar wavelet discretization method for free vibration study of laminated composite beam under generalized boundary conditions

第十三届国际复合材料会议

作者： AbdulatifM.R.Milad The Solid Mechanics Research Center The Department of Flight Vehicle Design And Applied Mechanics Beijing University of Aeronautics And Astronautics Beijing 100083

Direct Mode Superposition Methodm (DMSM) has been employed to deal with the rigid impact of particle upon laminated beam whose mechanical model is established by making use of. Successive Warping Correction Model (SWCM) and the numerical solutions of the rigid impact problem are obtained by means of Hierarchical Finite Element Method (HFEM).

关键词： wave propagation laminated beam impact hierarchical finite element

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Journal of Ocean Engineering and Science 2021年第1期6卷 1-11页

作者： Sung-Ryol So Hoyong Yun Yongho Ri Ryongsik O Yong-Il Yun Institute of Advanced Science Kim Il Sung UniversityPyongyangDemocratic People’s Republic of Korea Institute of Science Kimchaek University of TechnologyPyongyangDemocratic People’s Republic of Korea Department of Engineering Machine Pyongyang University of Mechanical EngineeringPyongyangDemocratic People’s Republic of Korea Department of Transport Mechanical Engineering Pyongyang University of Mechanical EngineeringPyongyangDemocratic People’s Republic of Korea

Investigation on vibration of laminated composite beam(LCB)is an important issue owing to its wide use as fundamental *** the present work,we study the free vibration of arbitrarily LCB with generalized elastic boundary condition(BC)by using Haar wavelet discretization method(HWDM).Timoshenko beam theory is utilized to model the free vibration of *** LCB is first split into several segments,and then the displacement for each segment is obtained from the Haar wavelet series and their ***’s principle is applied to construct governing equations and the artificial spring boundary technique is adopted to obtain the general elastic boundary and continuity conditions at two ends of *** vibration characteristics of beam with different fiber orientations and lamina numbers is investigated and its displacements are compared with those in previous *** results are shown graphically and demonstrate the validation of our method.

关键词： laminated beam Haar wavelet discretization method Elastic boundary condition Free vibration Artificial spring boundary technique

A new meshless method based on 2D-EFG for the analysis of piezoelectric laminated Timoshenko beam

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A new meshless method based on 2D-EFG for the analysis of pi...

Force-displacement characteristics of simply supported beam laminated with shape memory alloys

2011年全国压电和声波理论及器件应用研讨会

作者： Lin-Quan YAO~(1*) Yu YIN~2 Yan CAO~2 1 School of Urban Rail Transportation,Soochow University,Suzhou 215006 2 School of Mathematical Science,Soochow University,Suzhou,215006

Piezoelectric laminated beams are common piezoelectric *** has been applied in many fields,such as the driving element of the bimorph and unimorph piezoelectric actuators *** static and dynamic,linear and nonlinear,analytical method and numerical method,the mechanical behaviors of this structure(including bending, vibration,buckling and control,etc.) have very comprehensive *** these studies,most of the research is to

关键词： Piezoelectric Meshless method laminated beam Timoshenko beam

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Acta Mechanica Sinica 2011年第6期27卷 1065-1070页

作者： Zhi-Qiang Wu Zhen-Hua Zhang School of Mechanical Engineering Tianjin University 300072 Tianjin China Department of Electromechanical Engineering Nanyang Institute of Technology 473004 Nanyang China

As a preliminary step in the nonlinear design of shape memory alloy（SMA） composite structures,the force-displacement characteristics of the SMA layer are *** bilinear hysteretic model is adopted to describe the constitutive relationship of SMA *** the assumption that there is no point of SMA layer finishing martensitic phase transformation during the loading and unloading process,the generalized restoring force generated by SMA layer is deduced for the case that the simply supported beam vibrates in its first *** generalized force is expressed as piecewise-nonlinear hysteretic function of the beam transverse *** the energy dissipated by SMA layer during one period is obtained by integration,then its dependencies are discussed on the vibration amplitude and the SMA＇s strain（Ms-Strain） value at the beginning of martensitic phase *** is shown that SMA＇s energy dissipating capacity is proportional to the stiffness difference of bilinear model and nonlinearly dependent on *** increasing rate of the dissipating capacity gradually reduces with the amplitude *** condition corresponding to the maximum dissipating capacity is deduced for given value of the vibration *** obtained results are helpful for designing beams laminated with shape memory alloys.

关键词： Shape memory alloy laminated beam Bilinear hysteretic model Force-displacement characteristics - Energy dissipation

Analytical solution of temperature in laminated beams subjected to general thermal boundary conditions

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Journal of Central South University 2022年第2期29卷 561-571页

作者： QIAN Hai QIU Yue-xiang LU Chun-hua YANG Yang Faculty of Civil Engineering and Mechanics Jiangsu UniversityZhenjiang 212013China Chair of Foundation Engineering Soil and Rock MechanicsRuhr-University BochumBochum 44801Germany

The temperature distribution in laminated beams underging thermal boundary conditions has been *** thermal boundary conditions are general and include various combinations of prescribed heat fluxes and temperatures at the *** analytical solution of temperature for the laminated beam is present on the basis of the heat conduction theory in this *** proposed method is applicable to the beams with arbitrary thickness and layer *** to the complexity of the boundary conditions,the temperature field to be determined was considered from two *** first part was the temperature field from the complex temperature conditions at two edges of the laminated *** solution for the temperature of the first part was constructed to satisfy temperature boundary conditions at two *** second part was the temperature field from the upper and lower surface temperatures without taking account of the thermal conditions at two *** this part,the exact solution for the temperature was obtained based on the heat conduction *** convergence of the solution was examined by analyzing terms of Fourier *** validity and feasibility of the proposed method was verified by comparing theoretical results with numerical results due to the equivalent single layer approach and the finite element method(FEM).The influences of surface temperatures,beam thicknesses,layer numbers and material properties with respects to the solution of the temperature field of the beam were investigated via a series of parametric studies.

关键词： temperature field laminated beam transfer matrix general temperature boundary

Elasticity solution of laminated beams subjected to thermo-loads

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Journal of Central South University 2015年第6期22卷 2297-2305页

作者：钱海周叮刘伟庆方海 College of Civil Engineering Nanjing Technology University

According to the two-dimensional(2-D) thermo-elasticity theory, the exact elasticity solution of the simply supported laminated beams subjected to thermo-loads was studied. An analytical method was presented to obtain the temperature, displacement and stress fields in the beam. Firstly, the general solutions of temperature, displacements and stresses for a single-layered simply supported beam were obtained by solving the 2-D heat conduction equation and the 2-D elasticity equations, respectively. Then, based on the continuity of temperature, heat flux, displacements and stresses on the interface of two adjacent layers, the formulae of temperature, displacements and stresses between the lowest layer and the top layer of the beam were derived out in a recurrent manner. Finally, the unknown coefficients in the solutions were determined by the use of the upper surface and lower surface conditions of the beam. The distributions of temperature, displacement and stress in the beam were obtained by substituting these coefficients back to the recurrence formulae and the solutions. The excellent convergence of the present method has been demonstrated and the results obtained by the present method agree well with those from the finite element method. The effects of surface temperatures, thickness, layer number and material properties of the plate on the temperature distribution were discussed in detail. Numerical results reveal that the displacements and stresses monotonically increase with the increase of surface temperatures. In particular, the horizontal stresses are discontinuous at the interface.

关键词： laminated beam temperature thermo-elasticity recurrence method exact solution

Elasticity solution of laminated beams with temperature-dependent material properties under a combination of uniform thermo-load and mechanical loads

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Journal of Central South University 2018年第10期25卷 2537-2549页

作者： ZHANG Zhong ZHOU Wen-ling ZHOU Ding HUO Rui-li XU Xiu-li College of Civil Engineering Nanjing Tech UniversityNanjing 211816China Flood Control and Drought Relief Rescue Center of Jiangsu Province Nanjing 211500China

An exact solution for simply-supported laminated beams with material properties variable with temperature under a combination of uniform thermo-load and mechanical loads was investigated,based on the two-dimensional(2-D)thermo-elasticity ***,the beam was divided into a series of layers with uniform material properties along the interfaces of the *** uniform thermo-load acted on each layer was transformed into a combination of the normal surface forces acted at the two ends and the transverse ***,the state space method was employed to obtain the general solutions of displacements and stresses in an arbitrary ***,based on the interfacial continuity conditions between adjacent layers,the relations of displacement and stress components between the top and bottom layers of the beam were recursively derived by use of the transfer-matrix *** unknowns in the solutions can be solved by the mechanical loads acted on the top and bottom *** convergence of the present solutions was *** comparative study of the present solutions with the Timoshenko’s solutions and the finite element(FE)solutions was carried *** effects of material properties variable with temperature on the thermo-elastic behavior of laminated beams were discussed in detail.

关键词： laminated beam thermo-elasticity analytical solution transfer-matrix method temperature-dependent material

The analysis of composite laminated beams using a 2D interpolating meshless technique

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Acta Mechanica Sinica 2018年第1期34卷 99-116页

作者： S.H.M.Sadek J.Belinha M.P.L.Parente R.M.Natal Jorge J.M.A.César de Sá A.J.M.Ferreira Department of Mechanical Engineering Faculty of EngineeringUniversity of Porto Institute of Mechanical Engineering and Industrial Management University of Porto

laminated composite materials are widely implemented in several engineering constructions. For its relative light weight, these materials are suitable for aerospace, military, marine, and automotive structural applications. To obtain safe and economical structures, the modelling analysis accuracy is highly relevant. Since meshless methods in the recent years achieved a remarkable progress in computational mechanics, the present work uses one of the most flexible and stable interpolation meshless technique available in the literature—the Radial Point Interpolation Method(RPIM).Here, a 2 D approach is considered to numerically analyse composite laminated beams. Both the meshless formulation and the equilibrium equations ruling the studied physical phenomenon are presented with detail. Several benchmark beam examples are studied and the results are compared with exact solutions available in the literature and the results obtained from a commercial finite element software. The results show the efficiency and accuracy of the proposed numeric technique.

关键词： Radial point interpolators RPIM laminated beam Meshless method