关于Trefftz的弯曲中心

王炜, 王敏中. 关于Trefftz的弯曲中心[J]. 工程力学, 1987, 4(4): 28-33.

引用本文:

王炜, 王敏中. 关于Trefftz的弯曲中心[J]. 工程力学, 1987, 4(4): 28-33.

Wang Wei, Wang Minzhong. ON TREFFTZ'S CENTER OF FLFXURE[J]. Engineering Mechanics, 1987, 4(4): 28-33.

Citation:

Wang Wei, Wang Minzhong. ON TREFFTZ'S CENTER OF FLFXURE[J]. Engineering Mechanics, 1987, 4(4): 28-33.

ON TREFFTZ'S CENTER OF FLFXURE

摘要: 本文将关于弯曲中心的计算公式推广到适用于多连通截面的情形,并由此证明了对任意端部横向外力R^→,梁的应变能取极小的充分必要条件是:外力R^→过截面的Trefftz的弯曲中心。

Abstract: In this paper the Novozhinov's formula about the flcxural center is extended to a multiply connected domain. Let R is a force applied at the end of a bar. Then it is proved that strain energy takes minimum if and only if the force R is applied at Trefftz's center of flexure.

/