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伪可变体系几何可变性的研究，对轻型结构的设计分析已变得十分重要。本文先分析能量与平衡之间的普遍关系，进而得出判定体系可变性的能量准则。通过拉格朗日乘子的引入，建立能量泛函，得出判定极值的二次型。然后证明了乘积力法与能量法的一致性，并讨论了宜于计算机分析实现的矩阵表示方法。结果表明，若二次型确定，则体系伪可变；当半确定时，体系部分伪可变部分可变；否则体系含二阶以上的无穷小机构。
Research on the geometric variability of pseudo-variable systems has become very important for the design and analysis of lightweight structures. This paper first analyzes the general relationship between energy and balance, and then derives the energy criterion for determining the variability of the system. Through the introduction of Lagrange multiplier, the energy functional is established and the quadratic form of the extreme value is obtained. Then it proves the consistency of product method and energy method, and discusses the matrix representation method which is suitable for computer analysis. The results show that the system pseudo-variable if the quadratic determination, variable part of the pseudo-variable part of the system when the semi-deterministic, otherwise the system contains infinitesimal second-order above institutions.