基于裂缝梁动力特性和自振频率的参数敏感性

发布时间：2018-05-31 15:12

本文选题：开口裂缝 + 自振频率　；参考：《振动.测试与诊断》2016年05期

【摘要】：基于Bernoulli-Euler理论,将开口裂缝梁视为变截面梁,利用模态摄动方法建立了一种求解带任意数量开口裂缝简支梁和连续梁动力特性的半解析分析方法。在等截面无损梁的模态子空间内将裂缝梁的变系数微分方程的求解转化为非线性代数方程组的求解;利用无损梁的自振频率和振型函数摄动求解裂缝梁的模态参数;通过矩形开口裂缝简支梁和两跨连续梁的动力试验验证了笔者方法的准确性;最后,利用开口裂缝梁动力特性的半解析解研究了简支梁和两跨连续梁的自振频率对裂缝尺寸和位置的敏感性。
[Abstract]:Based on the Bernoulli-Euler theory, the open crack beam is regarded as a variable section beam, and a semi-analytical analysis method for solving the dynamic characteristics of simply supported beam with any number of open cracks and continuous beam is established by using the modal perturbation method. In the modal subspace of lossless beam with constant section, the solution of differential equation of variable coefficient of cracked beam is transformed into the solution of nonlinear algebraic equations, and the modal parameters of cracked beam are solved by using the natural vibration frequency and vibration mode function perturbation of lossless beam. The accuracy of the author's method is verified by the dynamic tests of simply supported beams with rectangular openings and two-span continuous beams. The sensitivity of natural frequency of simply supported beam and two span continuous beam to crack size and position is studied by using the semi-analytical solution of the dynamic characteristics of open crack beam.
【作者单位】：北京工业大学工程抗震与结构诊治北京市重点实验室;
【基金】：国家自然科学基金资助项目(51378039,51378037,51478024)
【分类号】：O346.1

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