用广义变分原理分析38号无缝道岔的研究

Analysis on No.38 Seamless Switch with Generalized Variational Principle

将轨枕视为弹性地基上的有限长梁,用郭氏法对轨枕进行受力分析,建立了扣件阻力和轨枕变形曲线的关系;在继承现有试验成果的基础上,通过假设钢轨纵向位移函数,计算了无缝道岔结构各部分的能量,再利用广义变分原理建立了结构的非线性平衡方程组,最后用最速下降法求解该方程组,得出38号无缝道岔钢轨纵向力及位移等的分布规律。

Sleeper is regarded as a finite long elastic foundation beam and analyzed by ΓopσyoB-ΠoeaДoB's method.The relation between fastener forces and sleeper displacement is established.By supposing rail displacement function based on the existing test result,the energies of seamless switch are calculated.By means of generalized variational principle,the nonlinear equilibrium equations are set up,whose roots are obtained by the rapidest descent method.The rail longitudinal force and displacement of No.38 seamless switch are given out.