混杂边界轴向运动Timoshenko梁固有频率数值解

摘要

The differential quadrature method was developed to solve natural frequencies of an axially moving asymmetric hybrid supported Timoshenko beams with randomly varying spring coefficients at both sides. The weighted coefficient matrices were modified for dealing with the hybrid boundary. The axially moving speed, the stiffness of the beam and the spring coefficients were numerically investigated for clarifying their influences on the first two natural frequencies, and the results were compared with the semi-analytical and semi-numerical solutions. It was shown that both of them are basically consistent.%运用微分求积方法求解两端带有扭转弹簧且弹簧系数均可任意变化的非对称下的轴向运动Timoshenko 梁的固有频率.以权系数修改法处理轴向运动Timoshenko梁的混杂边界.研究系统的前两阶固有频率随轴向速度、刚度系数以及弹簧弹性系数变化的情况,并将数值计算结果与半解析半数值的研究结果进行比较,结果表明,数值计算结果与半解析半数值结果基本吻合.