【摘要】 柱形纲架结构已有一些计算方法。本文用差分方程求解,得到一组联立差分方程,其中以横肋结点弯矩,横肋多边的横向切线位移,从向平面梁式桁架的弯矩M_s(z)为未知数,讨论了简支情形的解及一般的解法。 文献中的计算方法,当纵向格间较多时,要解高次特征方程和一系列的联立方程,对于简支情形,本文的方法避免了解特征方程。当横向格间较少时,用一般方法,可将联立方程孤立,使计算简化。更多还原

【Abstract】 A method for the analysis of cylindrical networks is proposed in this paper. Thecylindrical network is regarded as a space structure composed of ideal hinge-connected plane trusses with transversal members riqidly connected at joints.Taking the bendingmoments of the plane trusses, the deflections of the plane trusses and the bending mo-ments of the transversal members at joints as unknowns, the following finite differenceequations are obtained: （s,z） ---coordinates of joints. M_s（z）---bending moment of plane t?uss s at z. v_s（z）---deflection of plane t?uss s at z. G_s（z）---bending moment of transversal members at joint （s, z）. q_s^p（z）---functions of loads. n---number of plane trusses. E---symbolic operator. Ef（x）=f（x+1）, For simply supported case, the finite trigonometric series are employed to solve theabove equations. The solutions are given in the form:where M_sr,G_sr, v_sr are constants and m is the number of panels in the longitudinaldirection. For general cases, a method for sloving the above equations are presented, whichtransforms the system of simultaneous finite difference equations into independent finitedifference equations with the result that the solutions become easier to be obtained.更多还原