摘要
将杆系节点处的平衡条件作为约束条件,利用Lagrange乘子将约束条件引入到以“基面力”和位移对坐标导数表示的余能泛函中,从而将条件驻值问题转化为无条件驻值问题.应用该余能原理可直接计算出杆系在发生大变形时的内力和位移,算例说明余能原理用于杆系大变形的计算是可行的.
Equilibrium equations on nodes are taken as constraint conditions, and Lagrange multipliers are substituted into complementary functionals expressed with base forces, and derivatives of displacement with respect to coordinates. Then a conditional stationary problem is transformed into an unconditional stationary problem. Based on this complementary energy principle, internal forces and displacements are obtained when a rod system is in large deformation. Thus it is feasible for the complementary energy principle to apply to large deformations in rods systems.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2006年第9期757-760,共4页
Transactions of Beijing Institute of Technology
基金
国家自然科学基金资助项目(10572020)
高等学校博士学科点专项科研基金资助项目(20030004003)
关键词
基面力
余能原理
大变形
杆系
base forces
complementary energy principle
large deformation
rods system
