论文部分内容阅读
前文[1]討論了交叉梁的强度問題,本文继续前文討論交叉梁的稳定和振动問題。 本文利用結点变形連續(切线傾角連續)和竪向平衡分别导出交叉梁的稳定和振动问題的基本方程。关于稳定问題,设縱梁受压,討論了四边簡支时的解,給出求临界荷重的特征方程和临界刚度的表达式;討論了其他支承情况的解法,給出压杆(縱梁)两端固定时求临界荷重的特征方程。关于振动問題,設質量集中在結点上,由于和稳定問题很相似,只討論了四边简支时的解,給出了自振頻率的表达式。易见利用前文和本文的結果可以推論其他情况的解。
The strength of the cross-beam was discussed in [1] in the previous section. This paper continues to discuss the stability and vibration of cross-beams. In this paper, the basic equations for the stability and vibration of the cross-beam are deduced using the joint deformation continuous (continuous tangential inclination) and vertical equilibrium respectively. Regarding the stability problem, the longitudinal beams are subjected to pressure, and solutions to the simple support of the four sides are discussed. The expression of the critical equation for the critical load and the critical stiffness are given. The solution to other bearing conditions is discussed and the struts (longitudinal beams) are given. The characteristic equation for the critical load at both ends is fixed. With respect to the vibration problem, the mass is concentrated on the nodes. Since it is similar to the stability problem, only the solutions with the simple support on the four sides are discussed, and the expression of the natural frequency is given. It is easy to see that the solution to other situations can be inferred using the results of the previous article and this article.