Variational methods for the problems of nonconservative force fields in the micropolar elastodynamics

Based on the properties of the convolution and the convolute commutation, some quasi-variational principles for the problems of nonconservative force field in the micropolar elastodynamics are given and verified in this paper. The theorem given in this paper can be applied to the theories of the nonlocal elastic mediums and the nonlocal micropolar elastic mediums.     

空腹设拱重力坝优化设计

本文采用序列二次规划法进行空腹设拱坝断面优化设计,在求解过程中应用了运动极限和约束删除技术。经考核证实本文研制的优化程序收敛速度快,计算结果可靠。     

Subspace variational principle of rods and shells

This paper builds the general forms of subspace variational principles of rods andshells which are taken as the controlled equations of the constitutive theories developedfrom the three-dimensional (non-polar) continuum mechanics. And the constitutiveequations of rods and shells using the principles are satisfactory.     

Structure of rod shell theories in Hilbert space

This paper builds symmetrically general theories of rods and shells under mathematical frame of "Hilbert Space", and successfully obtains the error estimate to the system of theory.     

微极弹性动力学中非保守力场问题的变分方法

本文利用卷和卷的交换性质给出并证明了微极弹性动力学中非保守力场问题的几种拟变分原理。本文结果还可以推广到非局部弹性介质和非局部微极弹性介质力学中去。     

VARIATIONAL METHODS FOR THE PROBLEMS OF NONCONSERVATIVE FORCE FIELDS IN THE MICROPOLAR ELASTODYNAMICS

Based on the properties of the convolution and the convolute commutation, somequasi-variational principles for the problems of nonconservative force field in themicropolar elastodynamics are given and verified in this paper. The theorem given in thispaper can be applied to the theories of the nonlocal elastic mediums and the nonlocalmicropolar elastic mediums.