【摘要】 研究了带有端部质量的变截面Beck杆的动力特性。利用Bernoulli-Euler梁理论,建立了计算模型,导出了运动微分方程,利用微分求积法进行了数值计算。计算结果表明:外力为非保守力,当宽度比大于0.25时,增大Beck杆宽度比可以从一定程度上提高颤振失稳临界值;外力为保守力时,增大杆宽度比可以提高发散失稳临界值;当末端质量相对于Beck杆质量较小时,增加质量比会降低变截面Beck杆颤振失稳临界值。更多还原

【Abstract】 This paper illustrates the dynamic characteristics of a varying cross-section Beck′s column carrying concentrated mass.Based on Bernoulli-Euler beam theory,the mathematical model and the differential equation of motion were established and numerical results were obtained using differential quadrature(DQ) method.The numerical results show that when the external force is non-conservative,and when the width ratio is higher than 0.25,increasing width ratio can improve the critical value of the flutter instability of the varying cross-section Beck′s column carrying concentrated mass;when the external force is conservative,increasing width ratio can improve the critical value of the divergence instability;when the concentrated mass is smaller than Beck′s column,increasing mass ratio can reduce the critical value of the instability of the column.更多还原