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Large structure in engineering area under dynamic loads will produce a series of mechanical problem, such as resonance, creepings and so on. This paper studies the relations between stress, displacement and variable loads of the cantilever and simply supported beam which suffered three different loads. According to this research, the theoretical speed of longitudinal wave, torsional wave and flexural wave is compared to the result analyzed by ANSYS software. The result of this research provides the basis to topology design of dynamics.First of all, analyzed three kinds of situation for cantilever beam:(1) load magnitude changes (sine load),(2) load point and direction changes (rotation movement),(3) load magnitude, direction and point changes, get the variation of stress, displacement.Then analysed different effects on stress and displacement of the structure based on the rotation speed and sine load circular frequency.Secondly, based on the analysis of cantilever beam, studied the variation of stress and displacement at three different dynamic loads for simply supported beam, analyzed the dynamic responses to the structure.Finally, according to the elastic wave theory, obtained the longitudinal wave, torsional wave and flexural wave velocity.Then obtained analyzed velocity by ANSYS. Based on the analyses of these two results, velocity of longitudinal wave and torsional wave are credible, and the velocity of flexural wave at higher frequencies is also highly effective.
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