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Finite-difference simulation and visualization of elastodynamics in time-evolving generalized curvilinear coordinates
Finite-difference simulation and visualization of elastodynamics in time-evolving generalized curvilinear coordinates
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机译:时变广义曲线坐标系中弹性动力学的有限差分模拟和可视化
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摘要
Modeling and simulation of free and forced structural vibrations is essential to an overall structural health monitoring capability. In the various embodiments, a first principles finite-difference approach is adopted in modeling a structural subsystem such as a mechanical gear by solving elastodynamic equations in generalized curvilinear coordinates. Such a capability to generate a dynamic structural response is widely applicable in a variety of structural health monitoring systems. This capability (1) will lead to an understanding of the dynamic behavior of a structural system and hence its improved design, (2) will generate a sufficiently large space of normal and damage solutions that can be used by machine learning algorithms to detect anomalous system behavior and achieve a system design optimization and (3) will lead to an optimal sensor placement strategy, based on the identification of local stress maxima all over the domain.
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