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NONLINEAR VIBRATIONS OF A NANO SIZED SENSOR WITH FRACTIONAL DAMPING

Gh. E. Draganescu1,* , N. Cofan2, D. L. Rujan3

Affiliation

  1. Department of Mechanics, Polytechnic University of Timisoara, Bd. M. Viteazul, Nr. 1, 300222 - Timioara, Romania and Department of Physics, West University of Timisoara, Bd. V. Pârvan, Nr. 4, 30
  2. Department of Mathematics, Polytechnic University of Timisoara, Timisoara, Romania
  3. Department of Inorganic Chemistry, Polytechnic University of Timisoara, Timisoara, Romania

Abstract

A nano - sized oscillator with fractional damping and a nonlinearity due to the Casimir force is presented. It is used the Fourier - Volterra series method for the study of the nonlinear mode. The solution is established also using a variational integral method of J. H. He, based on Lagrange multiplier method..

Keywords

Nano-structure, MEMS, Fractional damping, Fractional derivative, Nonlinear oscillations, Volterra series, Lagrange multiplier, Variational method.

Submitted at: June 6, 2004
Accepted at: March 23, 2005

Citation

Gh. E. Draganescu, N. Cofan, D. L. Rujan, NONLINEAR VIBRATIONS OF A NANO SIZED SENSOR WITH FRACTIONAL DAMPING, Journal of Optoelectronics and Advanced Materials Vol. 7, Iss. 2, pp. 877-884 (2005)