Abstract
An iteration method of statistic linearization (IMSL) is presented. By this method, an equivalent linear term was formed in geometric relation and then an equivalent stiffness matrix for nonlinear term in vibration equation was established. Using the method to solve the statistic linear vibration equations, the effect of geometric nonlinearity on the random response of rotational shell is obtained.
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Communicated by FAN Wei-xun
Foundation item: the Humboldt Foundation of Germany
Biography: GAO Shi-qiao (1961-), Doctor, Professor
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Shi-qiao, G., Lei, J., Niemann, H.J. et al. Investigation of random response of rotational shell when considering geometric nonlinear behaviour. Appl Math Mech 22, 1268–1272 (2001). https://doi.org/10.1007/BF02437850
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DOI: https://doi.org/10.1007/BF02437850