Modelling and simulation of a cantilever-paddle beam under the effect of capillary, shock, and electrostatic forces

Hassen M. Ouakad, Mohammad I. Younis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we present a mathematical model and analysis for a microbeam fixed at one end and coupled to a microplate at its other end under the effect of capillary, shock and electrostatic forces. The model considers the microbeam as a flexible structure, the plate as a rigid body. First, we subject the system to capillary force via a drop of fluid which is trapped underneath the microplate. We derive closed-form solutions to the static and eigenvalue problems associated with the microbeam-microplate system. We then subject the system to shock loads for both case (capillary and electrostatic forces). The Galerkin procedure is used to derive a set of nonlinear ordinary-differential equations that describe the microsystem dynamics. We investigate the influence of the fluid volume ratio and the applied DC voltage on the microbeam response. We find that the effect of capillary force has much more dominant role compared to shock and electrostatic forces.

Original languageEnglish
Title of host publication2008 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008
Pages677-682
Number of pages6
Publication statusPublished - Nov 23 2009
Externally publishedYes
Event2008 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008 - New York City, NY, United States
Duration: Aug 3 2008Aug 6 2008

Publication series

Name2008 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008
Volume4

Conference

Conference2008 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008
CountryUnited States
CityNew York City, NY
Period8/3/088/6/08

ASJC Scopus subject areas

  • Artificial Intelligence
  • Computational Theory and Mathematics
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

Cite this

Ouakad, H. M., & Younis, M. I. (2009). Modelling and simulation of a cantilever-paddle beam under the effect of capillary, shock, and electrostatic forces. In 2008 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008 (pp. 677-682). (2008 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC 2008; Vol. 4).