一种等截面直梁变形能的简便计算方法

A SIMPLE CALCULATION METHOD OF STRAIN ENERGY OF PRISMATIC BEAM

  • 摘要: 针对等截面直梁受集中力、集中力偶和均布载荷作用,提出一种利用结构内力图图形几何性质快速计算结构变形能的简便方法。将变形能表示成由内力图形状确定的几何参数进行简单四则运算的结果。算例表明,该方法避免了结构内力方程的书写及其他复杂的运算,简化了变形能的计算过程,提高了计算效率。

     

    Abstract: For prismatic straight beams subjected to concentrated forces, concentrated couple moments, and uniform load, a simple method is proposed for rapidly calculating the strain energy based on the geometric properties of internal force diagram. The strain energy is expressed as the result of simple arithmetic operations using geometric parameters derived from the shape of internal force diagram. An example illustrates that this method eliminates the need to formulate the structural internal force equation and other intricate computations, simplifies the process of calculating the strain energy, and improves computational efficiency.

     

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