The present article is the first part of work devoted to investigation nonlinear dynamics parametrically excited flexural vibrations a clamped-clamped microbeam - basic sensitive element promising class microsensors various physical quantities under laser thermooptical action in form periodically generated pulses acting on certain surface beam element. An analytical solution heat transfer probl...

A new computational scheme using Chebyshev polynomials is proposed for the numerical solution of parametrically excited nonlinear systems. The state vector and the periodic coefficients are expanded in Chebyshev polynomials and an integral equation suitable for a Picard-type iteration is formulated. A Chebyshev collocation is applied to the integral with the nonlinearities reducing the problem ...