TAILIEUCHUNG - Summary of doctoral thesis in materials science: Finite element models in vibration analysis of two-dimensional functionally graded beams

This thesis aims to develop finite element models for studying vibration of the 2D-FGM beam. These models require high reliability, good convergence speed and be able to evaluate the influence of material parameters, geometric parameters as well as being able to simulate the effect of shear deformation on vibration characteristics and dynamic responses of the 2D-FGM beam. | Summary of doctoral thesis in materials science: Finite element models in vibration analysis of two-dimensional functionally graded beams MINISTRY OF EDUCATION AND VIETNAM ACADEMY OF TRAINING SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY SCIENCE AND TECHNOLOGY ----------------------------- TRAN THI THOM FINITE ELEMENT MODELS IN VIBRATION ANALYSIS OF TWO-DIMENSIONAL FUNCTIONALLY GRADED BEAMS Major: Mechanics of Solid code: 9440107 SUMMARY OF DOCTORAL THESIS IN MATERIALS SCIENCE Hanoi – 2019 The thesis has been completed at: Graduate University Science and Technology – Vietnam Academy of Science and Technology. Supervisors: 1. Assoc. Prof. Dr. Nguyen Dinh Kien 2. Assoc. Prof. Dr. Nguyen Xuan Thanh Reviewer 1: Prof. Dr. Hoang Xuan Luong Reviewer 2: Prof. Dr. Pham Chi Vinh Reviewer 3: Assoc. Prof. Dr. Phan Bui Khoi Thesis is defended at Graduate University Science and Technology- Vietnam Academy of Science and Technology at , on . Hardcopy of the thesis be found at : - Library of Graduate University Science and Technology - Vietnam national library 1 PREFACE 1. The necessity of the thesis Publications on vibration of the beams are most relevant to FGM beams with material properties varying in one spatial direction only, such as the thickness or longitudinal direction. There are practical circumstances, in which the unidirectional FGMs may not be so appropriate to resist multi-directional variations of thermal and mechanical loadings. Optimiz- ing durability and structural weight by changing the volume fraction of FGM’s component materials in many different spatial directions is a mat- ter of practical significance, being scientifically recognized by the world’s scientists, especially Japanese researchers in recent years. Thus, struc- tural analysis with effective material properties varying in many different directions in general and the vibration of FGM beams with effective .

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