Structural RC computer aided intelligent analysis and computational performance via experimental investigations

Y.C. Huang , M.D. TuMuli Lulios , Chu-Ho Chang , M. Nasir Noor4 , Jen-Chung Shao , Chien-Liang Chiu , Tsair-Fwu Lee , Renata Wang

Abstract

This research explores a new finite element model for the free vibration analysis of bi-directional functionally graded (BDFG) beams. The model is based on an efficient higher-order shear deformation beam theory that incorporates a trigonometric warping function for both transverse shear deformation and stress to guarantee traction-free boundary conditions without the necessity of shear correction factors. The proposed two-node beam element has three degrees of freedom per node, and the inter-element continuity is retained using both C1 and C0 continuities for kinematics variables. In addition, the mechanical properties of the (BDFG) beam vary gradually and smoothly in both the in-plane and out-of-plane beam's directions according to an exponential power-law distribution. The highly elevated performance of the developed model is shown by comparing it to conceptual frameworks and solution procedures. Detailed numerical investigations are also conducted to examine the impact of boundary conditions, the bi-directional gradient indices, and the slenderness ratio on the free vibration response of BDFG beams. The suggested finite element beam model is an excellent potential tool for the design and the mechanical behavior estimation of BDFG structures.

Key Words

bi-directional functionally graded beam; exponential power-law; finite element formulation; free vibration; higher-order shear deformation theory

Address

Y.C. Huang — Information Technology Faculty, Duy Tân University, 254 Nguyen Van Linh, Danang, Vietnam
M.D. TuMuli Lulios — Princess Margaret Hospital, Funafuti Island, Private Mail Bag, Tuvalu
Chu-Ho Chang — College of Electrical Engineering and Computer Science, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan M. Nasir Noor: College of Maritime, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan
Jen-Chung Shao — 3ollege of Electrical Engineering and Computer Science, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan
Chien-Liang Chiu — Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan
Tsair-Fwu Lee — Department of Electronic Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan; Medical Physics and Informatics Laboratory of Electronics Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, Taiwan
Renata Wang — Information and Research Center of China, 1/9, Road: 2, Block: D, Section: 15, Dhaka 1216, Bangladesh

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