华中科技大学学报：自然科学版2012，Vol.40Issue(11)：68-71,4.
GDQR求解切向力下复杂弹性支承梁的稳定性
Stability of elastically supported beams subjected to a partially tangential force based on GDQR
摘要
Abstract
t The motion differential equations for complex elastically supported Euler beam subjected to tangential force were established. The matrix eigenvalue equations consist of the dynamic equations and boundary conditions were obtained after discretized by generalized differential quadrature rule (GDQR) in space,then the stability of beam could be analysed through solving the eigenvalue matrix equations. From the calculation results, it showed that there was a close relationship between the in- fluence of tangential force to critical load and the combination of 4 supporting spring stiffness at both ends, especially when one spring stiffness value takeing infinite at each end, tangency coefficient made no effects on the value of critical load, meanwhile, with the change of tangency coefficient, the insta- bility style of clamped-elastically suppported beam would change.关键词
广义微分求积法/稳定性/弹性支承梁/切向力/临界载荷Key words
generalized differential quadrature rule (GDQR)/stability/elastically supported beam/tangential force/critical load分类
数理科学引用本文复制引用
李威,曾志松,韩旭..GDQR求解切向力下复杂弹性支承梁的稳定性[J].华中科技大学学报：自然科学版,2012,40(11):68-71,4.基金项目
国家杰出青年科学基金资助项目 （）
