动不定体系由于内部存在机构位移.其求解过程不同于动定体系。为了全面了解动不定体系的受力性能.本文对其相容及非相容平衡方程的求解进行了详细的分析和推导;同时.由于动不定体系求解过程涉及大位移.本文对通常建立在小变形假定下的变形协调方程进行了重新推导,采用建立在大变形基础上的变形协调方程对有限机构进行求解.并由此编制了相应的计算程序。算例分析表明本文计算方法是精确和有效的.可用于确定动不定体系的平衡状态和内力。
With inner mechanisms, the solution of kinematically indeterminate systems is much more complicated than that of kinematically determinate systems. To understand the structural behaviour fully, the compatible and incompatible equilibrium equations of kinematically indeterminate systems had been derived and solved detailedly in this paper. Considering the solution of kinematically indeterminate system involves large displacement, the deformation compatible equations based on small distortion were re-derived and the equations which based on large distortion were adopted. Numerical results show the proposed method is accurate and efficient, and can be used to determine the equilibrium state of kinematically indeterminate systems.