On the canonical equations of Kirchhoff-Love theory of shells

被引:3
作者
Semenyuk, N. P. [1 ]
Trach, V. M. [1 ]
Merzlyuk, V. V. [1 ]
机构
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine
关键词
variational principles; shell theory; canonical system of equations; Kirchhoff-Love hypotheses; Lagrange multipliers; Legendre transform;
D O I
10.1007/s10778-007-0115-6
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The paper outlines a procedure to derive the canonical system of equations of the classical theory of thin shells using Reissner's variational principle and partial variational principles. The Hamiltonian form of the Reissner functional is obtained using Lagrange multipliers to include the kinematical conditions that follow from the Kirchhoff-Love hypotheses. It is shown that the canonical system of equations can be represented in three different forms: one conventional form (five equilibrium equations) and two forms that are equivalent to it. This can be proved by reducing them to the same system of three equations. For problems with separable active and passive variables, partial variational principles are formulated.
引用
收藏
页码:1149 / 1156
页数:8
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