Fractal Pull-in Stability Theory for Microelectromechanical Systems

Pull-in and snap-through instabilities in transient deformations of microelectromechanical systems

We analyze transient finite electroelastodynamic deformations of a perfect electrically conducting undamped clamped–clamped beam, a clamped–clamped parabolic arch and a clamped–clamped bell-shaped arch suspended over a flat rigid semi-infinite perfect conductor. The pull-in instability in a beam and the pull-in and the snap-through instabilities in the two arches due to time-dependent potential...

Fractal Population Ecology Theory

Abstract Purpose - The aim of this paper is to describe the population ecology theory through fractal thinking, an emergent human operating system that is creative, adaptive, healthy, and evolutionary; furthermore, a parallel is drawn between the population ecology model and the fractal structure. Top-down hierarchies are typically characterized by command and control systems of the authority t...

Surface Micromachining for Microelectromechanical Systems

Surface micromachining is characterized by the fabrication of micromechanical structures from deposited thin films. Originally employed for integrated circuits, films composed of materials such as low-pressure chemical-vapor-deposition polycrystalline silicon, silicon nitride, and silicon dioxides can be sequentially deposited and selectively removed to build or “machine” three-dimensional stru...

Evaluation of fractal dimensions for analysis of aggregate stability

Scalable Macromodels for Microelectromechanical Systems

A fully automatic macromodeling methodology to generate scalable reduced-order models for microelectromechanical systems is presented in this paper. Krylov subspace methods are used to generate reduced-order models from detailed higher-order models of the device under consideration. The entire methodology is implemented in a symbolic computation environment to preserve dependencies on physical ...