Multi-Physics Computational Framework For Coupled Electric, Magnetic and Mechanical Systems Using Wavelet Transformation Based Multi Time Scaling (WATMUS)

Coupled multi-physics problems;Electromagnetics;Antenna;Finite Deformation;WATMUS;Newton-GMRES method;Piezoelectricity;Maxwell stress;Actuators and sensors;Engineering Mechanics

Yaghmaie, Reza

Johns Hopkins University

关键词: Coupled multi-physics problems;    Electromagnetics;    Antenna;    Finite Deformation;    WATMUS;    Newton-GMRES method;    Piezoelectricity;    Maxwell stress;    Actuators and sensors;    Engineering Mechanics;   

Others  :  https://jscholarship.library.jhu.edu/bitstream/handle/1774.2/59151/YAGHMAIE-DISSERTATION-2018.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: JOHNS HOPKINS DSpace Repository

【 摘 要 】

Multi-functional devices that integrate electromagnetic and mechanical fields are gaining importance in a wide variety of applications. The combined mechanical and electromagnetic regimes, encompassed in these structures, make it necessary to develop effective multi-physics analysis tools at a range of temporal scales. An important consideration is that the different fields governing multi-physics response may have large frequency discrepancies, e.g. the ultra-high electromagnetic frequencies and moderate vibration frequencies. Computational analyses of these discrepant frequency problems using conventional time integration schemes can become intractable. This dissertation develops a framework for coupling: (1)-transient electromagnetic and dynamic mechanical fields to predict the evolution of electric and magnetic fields and their fluxes in a vibrating substrate undergoing finite deformation, and (2)-electro-mechanical fields that differ widely in the frequency ranges coupled with finite strain damage evolutions. The issue concerning with the time integration with large frequency ratios, is overcome by developing the novel wavelet transformation induced multi-time scaling (WATMUS) method in the finite element framework. The WATMUS-based FE model is enhanced with a scaled and preconditioned Newton-GMRES solver for efficient solution. The wavelet transformation projects the high frequency (fine time scale) electric potential and its first time derivative, displacement and velocity fields through translation and dilation of an appropriate set of scaling functions on the low frequency (coarse time scale) response with monotonic evolution. The method significantly enhances the computational efficiency in comparison with conventional single time scale integration methods. The coupled FE model is used to solve a monopole antenna and a microstrip patch antenna with large electromagnetic to mechanical frequency ratios, an actuating cantilever and a laminate composite for high frequency sensing with damage evolutions. Comparing the electromagnetic fields, damage evolutions and sensor signals with the progression of thousands of mechanical cycles demonstrate complex multi-physics relations in these applications.