chaos

A novel class of highly efficient and accurate time-integrators in nonlinear computational mechanics

Tue, 2017-01-31 11:40 - Xuechuan Wang

A new class of time-integrators is presented for strongly nonlinear dynamical systems. These algorithms are far superior to the currently common time integrators in computational efficiency and accuracy. These three algorithms are based on a local variational iteration method applied over a finite interval of time. By using Chebyshev polynomials as trial functions and Dirac–Delta functions as the test functions over the finite time interval, the three algorithms are developed into three different discrete time-integrators through the collocation method.

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Nonlinear dynamics of rotating shaft with a breathing crack - CHINA SCHOLARSHIP COUNCIL PhD for 2017

Mon, 2015-11-23 05:34 - saberelarem

Because of the increasing need of energy, the plants installed by electricity supply utilities throughout the world are becoming larger and more highly stressed. Thus, the risk of turbogenerator shaft cracking is increasing also. The development and propagation of a crack represents the most common and trivial beginning of integrity losses in engineering structures.