收藏本站
收藏 | 手机打开
二维码
手机客户端打开本文

异向性材料力学之状态空间解析法(英文)

Jiann-QuoTarn  谭建国  
【摘要】:A Hamiltonian state space formalism and solution approach for mechanics of anisotropic materials is presented.Focus is placed on its applications to anisotropic elasticity and linear piezoelectricity.By introducing the generalized displacement vector and the generalized stress vectors as the fundamental state variables,the basic equations of piezoelectricity are formulated into the state space framework in which the state equation and the output equation are expressed in terms of the state vector composed of the generalized displacement vector and generalized stress vectors as the dual variables.The state equation and the output equation of piezoelectricity and anisotropic elasticity bear a remarkable resemblance in the state space setting.As such,correspondence between piezoelectricity and anisotropic elasticity emerges.This makes determination of the solutions for problems of piezoelectricity no more difficult than their elastic counterparts.The Hamiltonian formulation brings out the symplectic characteristics of the system,which provide an essential basis for a solution approach using methods of matrix algebra and eigenfunction expansion.Some unsolved problems in Cartesian and cylindrical coordinates are solvable by using the approach.For illustration,applications to exact analysis of extension,bending,torsion of composite laminates and finite circular cylinders are delineated.A number of three-dimensional solutions for the problems are determined within the context.

知网文化
【相似文献】
中国重要会议论文全文数据库 前3条
1 Jiann-QuoTarn;谭建国;;异向性材料力学之状态空间解析法(英文)[A];第七届海峡两岸工程力学研讨会论文摘要集[C];2011年
2 ;Generalized Birkhoan Realization of Nonholonomic Systems[A];第十三届全国非线性振动暨第十届全国非线性动力学和运动稳定性学术会议摘要集[C];2011年
3 ;The effect of coefficients in the Generalized nonlinear Schrodinger equation on turbulence[A];第十五届全国等离子体科学技术会议会议摘要集[C];2011年
 快捷付款方式  订购知网充值卡  订购热线  帮助中心
  • 400-819-9993
  • 010-62982499
  • 010-62783978