摘要
基于模态应变能,本文提出Euler-Bernoulli功能梯度梁的损伤识别方法。首先利用有限元方法计算Euler-Bernoulli功能梯度梁的单元刚度矩阵和振型模态参数,然后计算单元刚度矩阵与振型的二次积,即得单元模态应变能。在此基础上,根据单元模态应变能损伤前后的变化,给出Euler-Bernoulli功能梯度梁的损伤指标。通过数值算例,验证了Euler-Bernoulli功能梯度梁的损伤识别方法的有效性。数值结果表明,提出的损伤指标能够很好地识别出梁的损伤单元。
A damage identification method based on modal strain energy is presented for an Euler-Bemoulli functionally graded beam. The finite element method is employed to compute the elemental stiffness matrix and the modal parameters such as mode shapes of the beam. The elemental modal strain energy, which is defined as the product of the elemental stiffness matrix and the second power of the mode shape component, is calculated by using the finite element method results. On this basis, the beam is developed by way of the change of the modal of damage damage indicator for the Euler-Bernoulli functionally graded strain energy in each element before and after the occurrence . A numerical example is given to illustrate the validity of the proposed method for the damage identification of the Euler-Bernoulli functionally graded beam. Numerical results show that the damaged element can be easily identified by using the damage indicator.
出处
《玻璃钢／复合材料》
CAS
CSCD
北大核心
2015年第8期14-17,共4页
Fiber Reinforced Plastics/Composites
基金
国家自然科学基金(11262002)
