tailieunhanh - A novel meshfree approach for free vibration and buckling analysis of thin laminated composite plates
A novel meshfree radial point interpolation approach which employs a new numerical integration scheme is introduced. The new integration scheme, namely Cartesian Transformation Method, transforms a domain integral into a double integral including a boundary integral and a one-dimensional integral, and thus allowing integration without discretizing domain into sub-domains usually called background mesh in traditional meshfree analysis. A new type of radial basis function that is little sensitive to user-defined parameters is also employed in the proposed approach. | 50 SCIENCE & TECHNOLOGY DEVELOPMENT, Vol 20, 2017 A novel meshfree approach for free vibration and buckling analysis of thin laminated composite plates Nguyen Ngoc Minh, Nguyen Vuong Tri, Nguyen Thanh Nha, Truong Tich Thien* Abstract— A novel meshfree radial point interpolation approach which employs a new numerical integration scheme is introduced. The new integration scheme, namely Cartesian Transformation Method, transforms a domain integral into a double integral including a boundary integral and a one-dimensional integral, and thus allowing integration without discretizing domain into sub-domains usually called background mesh in traditional meshfree analysis. A new type of radial basis function that is little sensitive to user-defined parameters is also employed in the proposed approach. The present approach is applied to free vibration and buckling analysis of thin laminated composite plates using the classical Kirchhoff’s plate theory. Various numerical examples with different geometric shapes are considered to demonstrate the applicability and accuracy of the proposed method. Index Terms— meshfree method, improved Radial Point Interpolation, Cartesian Transformation Method, free vibration and buckling analysis, composite plates. 1 INTRODUCTION F inite element method (FEM) [1] is well-known in the engineering communities due to its advantages in solving partial differential equations. The method has many (advantages?) advatages, such as simplicity and high accuracy with not-sohigh computational cost. However, it is not Manuscript Received on November 09th, 2016, Manuscript Revised March 09th, 2017. This research is funded by Ho Chi Minh City University of Technology, Vietnam National University – Ho Chi Minh City under grant number “SVCQ-2016-KHUD-47”. We also thank our colleagues in Department of Engineering Mechanics for the valuable discussions. Nguyen Ngoc Minh, Nguyen Vuong Tri, Nguyen Thanh Nha, Truong Tich Thien – Ho Chi Minh City .
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