Abstract：The modeling method of an elastic plate under vibration with cracked effects is proposed according to dynamic problems of cracked plates. The crack is replaced by an external force approximately on the basis of deformation equivalence. The motion equation of an elastic plate considering crack is derived via the principle of mechanical equilibrium, and the cracked terms is derived through the stress relations that are introduced by Rice and Levy. Therefore, Galerkin method and Berger’s experience are used to simplify the cracked plate into a nonlinear one single freedom nonlinear vibration system, and the dynamic character of a simply support plate is analyzed. Then, a case study is carried out for the impact of crack size, plate dimension, damping and loading point on the vibration nonlinear and response. Results indicate that vibration response is affected by the plate dimension and crack size obviously; the stress response amplitude is controlled by damping and loading point.
刘文光;严铖. 考虑裂纹效应的弹性板振动分析模型[J]. , 2014, 33(7): 133-137.
Liu Wenguang;YAN cheng. Vibration Analytical Model of an Elastic Plate with Cracked Effects. , 2014, 33(7): 133-137.
2014, Vol. 33 
