TY - JOUR ID - 20562 TI - Low Velocity Impact on Relatively Thick Rectangular Plate under In-plane Loads Resting on Pasternak Elastic Foundation JO - Iranian Journal of Mechanical Engineering Transactions of the ISME JA - JMEE LA - en SN - 1605-9727 AU - Hosseini Hashemi, Sh. AU - Kalhor, R. AD - , Impact Research Laboratory, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran Y1 - 2011 PY - 2011 VL - 12 IS - 1 SP - 41 EP - 67 KW - Low velocity impact KW - first order shear deformation theory KW - permanent indentation KW - in-plane loads KW - Elastic foundation DO - N2 - This study deals with the elastic-plastic impact on moderately thick rectangular plate subjected to uniform in-plane compressive loads resting on the Pasternak elastic foundation. The proposed rectangular plates have two opposite edges simply-supported, while all possible combinations of free, simply-supported and clamped boundary conditions are applied to the other two edges. The dimensionless equations of motion of the plate are obtained by applying the Reissner-Mindlin plate theory considering the first-order shear deformation and the rotary inertia effects. The exact closed form solution of the governing equations leading to more accurate result with less calculating time in comparison with the Rayleigh-Ritz method is used to obtain the dynamic response of the plat. The validity of the result is first examined by studying the convergence of the maximum impact force. Then, a comparison of results with those available in literature confirms the excellent accuracy of the present approach. Finally the effects of the dimensionless parameters such as uniaxial and biaxial in-plane loads and the effect of foundation stiffness parameters on force and displacement histories have been examined. UR - https://jmee.isme.ir/article_20562.html L1 - https://jmee.isme.ir/article_20562_2fe6df9557e9a963fab999819ab7efbc.pdf ER -