摘要
按照广义力和广义位移之间的对应关系,将弹性动力学基本方程卷积乘上相应的虚量,然后积分且代数相加,并利用体积力和面积力均为伴生力这一特征,建立了非保守系统初值问题的简单Gurtin型五类变量的完全拟变分原理.更进一步地还建立了非保守系统初值问题的简单Gurtin型不完全拟变分原理和有条件不完全拟变分原理.在建立非保守系统初值问题的各类简单Gurtin型拟变分原理的同时,还将变积方法推广为卷变积方法.最后,介绍了寻求伴生力的方法.
According to the corresponding relations between generalized forces and generalized displacements,the basic equations of non-conservative elasto-dynamics are convol-multiplied by corresponding virtual quantities, and then integrated and added together. Considering the character of accompanying body and surface forces, the quasi-variational principles and generalized quasi-variational principles of initial value problem are established in non-conservative elasto-dynamics. Simultaneously, the variational integral method is popularized into variational integral convolution method. Finally, the method of seeking accompanying forces is shown.
出处
《固体力学学报》
EI
CAS
CSCD
北大核心
2007年第3期224-228,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(10272034
10172097)
博士点基金资助
关键词
弹性动力学
初值问题
卷积型变分原理
elasto-dynamics, initial value problem, variational principle of convolution type
