【摘要】 基于Hamilton变分原理,导出具有弹性支撑的1/4圆形输液曲管的变分—积分方程。采用多个函数组合的方法,选取满足边界条件的试函数,利用Galerkin直接法求出系统的固有频率和极限流速的近似解析公式。数值结果表明,弹簧对固有频率和极限流速都有显著影响。根据数值结果,用最小二乘法给出固有频率和极限流速与弹簧刚度的关系公式。更多还原

【Abstract】 Based on Hamilton variation principle,the variation-integration equations of a quad-circle curved pipe conveying fluid with spring support were derived.Multi-function combination method was employed.The test function satisfied boundary conditions were selected.The approximate analytic formulae of natural frequency and limit velocity were presented by Galerkin direct method.The numerical results illustrate that the spring has be of notable influence on natural frequency and limit velocity.According to the upwards numerical results,relation formulae of natural frequency and limit velocity along with spring modulus are presented by use of the least square method.更多还原