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本文根据杭州某索网屋盖工程(80×60m)的设计和研究,提出大变形情况下索网薄膜内力功的正确定义式。根据正确的功能转化公武(内力功+外力功+内能),本文得到位能、应变能、余能和全能的表达式。在广义能量方面,本文不用拉格朗日乘子而直接通过内力全功的分解得到广义势能和广义余能的表达式。同时,可以得到两种类型广义变分原理:第一种包含三类变量(应力、位移、外约束力);第二种包含四类变量(应力、应变、位移、外约束力)。
Based on the design and research of a cable net roof project (80×60m) in Hangzhou, this paper proposes the correct definition of the internal force of the cable membrane in the case of large deformation. According to the correct function transformation of Gongwu (internal force work + external force work + internal energy), the expressions of potential energy, strain energy, residual energy and omnipotent are obtained. In terms of generalized energy, this paper does not use the Lagrangian multiplier directly to obtain the expressions of generalized potential energy and generalized residual energy through the decomposition of all internal forces. At the same time, two types of generalized variational principles can be derived: the first type includes three types of variables (stress, displacement, and external restraint); and the second type includes four types of variables (stress, strain, displacement, and external restraint).