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Vibration analysis of a new type of compliant mechanism with flexible-link, using perturbation theory

Viliani, N. S ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. DOI: 10.1155/2012/857064
  3. Publisher: 2012
  4. Abstract:
  5. Vibration analysis of a new type of compliant parallel mechanism with flexible intermediate links is investigated. The application of the Timoshenko beam theory to the mathematical modeling of the intermediate flexible link is described, and the equations of motion of the flexible links are obtained by using Lagrange's equation of motion. The equations of motion are obtained in the form of a set of ordinary differential equations by using assumed mode method theory. The governing differential equations of motion are solved using perturbation method. The assumed mode shapes and frequencies are to be obtained based on clamped-clamped boundary conditions. Comparing perturbation method with Runge-Kutta-Fehlberg 4, 5th leads to highly accurate solutions, and the results are performed and discussed
  6. Keywords:
  7. Assumed modes ; Assumed-mode method ; Flexible links ; Flexible-link ; Governing differential equations ; Intermediate links ; Lagrange's equation of motion ; Parallel mechanisms ; Perturbation method ; Perturbation theory ; Timoshenko beam theory ; Boundary conditions ; Flexible manipulators ; Flexible structures ; Mechanisms ; Ordinary differential equations ; Perturbation techniques ; Runge Kutta methods ; Vibration analysis ; Equations of motion
  8. Source: Mathematical Problems in Engineering ; Volume 2012 , February , 2012 ; 1024123X (ISSN)
  9. URL: http://www.hindawi.com/journals/mpe/2012/857064