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在本文中提出了一个统一的公式、根据这个公式可以: 1)直接写出扭轴、连续梁、无侧移連續刚架及多层建筑(不考虑楼板及梁的变形)的频率方程式并直接求出其自振形式; 2)直接写出阶形压杆、單跨多尽剛架、矩形连框桁架、连续梁及无侧移連续刚架等結构的临界荷载的特征方程式,并在需要时可以直接求出它們失去稳定的形式。 这样,便在求自振頻率及临界荷载时避免了列出和展开行列式的工作,在求自振形式和失稳形式时避免了解联立方程式的工作,从而使这些問題的計算得到大大的簡化。
In this paper, a unified formula is proposed. According to this formula, it is possible to: 1) Write directly the frequency equations of the torsion axis, continuous beam, non-lateral continuous rigid frame and multi-story buildings (without considering the deformation of the floor slab and beam) and directly Find the natural vibration form; 2) directly write the characteristic equations of the critical load of the structure such as step-compression rod, single-span multi-span rigid frame, rectangular connection frame truss, continuous beam and continuous non-sway continuous rigid frame, etc. It is straightforward to find out how they lose stability. In this way, the work of listing and expanding the determinant is avoided when the natural frequency and the critical load are sought, and the work of the simultaneous equations is avoided when the natural vibration mode and the instabilized form are sought, so that the computation of these problems is greatly improved. simplify.