Nonlinear Dynamic Behaviour and Instability of Advanced Materials and Structures

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Copyright: Gao, Kang
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Abstract
Owing to the rapidly advanced production techniques and falling cost of material manufacture, advanced materials are increasingly applied in both academia and industry fields. Classical static structural stability analysis provides a reliable and efficient tool to evaluate critical buckling load-carrying capacity of thin-walled structures made of traditional homogeneous materials. However, as the application of advanced materials is becoming diverse and more complex, such as thermal effect, damping effect and resting on or embedding in elastic foundation/medium, the problems of dynamic characteristics and stability of structures made of new materials need to be further studied. Thus, it is vital and essential to investigate the dynamic behaviour and stability of slender engineering structures (i.e., beam, plate and shell) made of advanced materials under different extreme conditions and develop an appropriate strategy to ensure safety and serviceability of these structures. This dissertation aims to provide a comprehensive analytical framework for dynamic behaviour assessment of beam, plate and cylindrical shell made of advanced materials, as well as a vivid modelling on the damping effect, thermal effect and elastic foundation for structures under dynamic loadings. For dynamic buckling of beams, both the Galerkin-Force method and energy method are utilized by considering different boundary conditions, damping and thermal effects; For dynamic buckling of plates, based on the classical plate theory and accounting for von-Kármán strain-displacement relation, the nonlinear compatibility equation is derived. Then the Galerkin method and Airy’s stress function are applied, and the obtained the nonlinear differential equations are solved numerically by the fourth-order Runge-Kutta method; As for the dynamic buckling of cylindrical shells, by employing Hamilton’s principle, the equations of motions are derived. Therefore, by comparing with finite element methods, the other analytical methods in the open literature, the validity, accuracy, applicability of the proposed analytical models and solutions were comprehensively examined. The dynamic buckling analysis and dynamic assessment of thin-walled structures made of advanced materials conducted in this dissertation can help achieve the optimum design of such structures under dynamic loadings, as well as a useful benchmark for design and analysis of nano/micro-sized devices and systems.
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Author(s)
Gao, Kang
Supervisor(s)
Gao, Wei
Song, Chongmin
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Publication Year
2018
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Thesis
Degree Type
PhD Doctorate
UNSW Faculty
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