中文摘要：

在对复杂构件的转动惯量测量中,非对称三线摆具有潜在的应用价值。利用带乘子的拉格朗日方程对不满足任何对称性条件的小摆角三线摆进行了研究,导出了由6个二阶常微分方程和3个代数方程组成的动力学模型。该模型为非对称三线摆的工程应用打下了理论基础。

英文摘要：

Unsymmetrical trifilar pendulum is potentially valued in measuring the moment of inertia（ MOI） of some oddly complex structures. By using Lagrang’s equation with multipliers,the unsymmetrical trifilar pendulum under small angle condition was investigated and its dynamic model was derived as a composition of six ODEs and three algebraic equations. The model can lay a theoretical foundation for the engineering application of the unsymmetrical trifilar pendulum.