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Mathematical Model of Cylindrical/Spherical Shell Vibrations

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Book cover Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members

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Abstract

In this chapter a mathematical model of flexible shallow shells with an account of geometric non-linearity is derived. The results reliability is discussed. The stiff stability loss versus the cylindrical panels curvature k y and versus the spherical shell with rectangular planform curvatures k x, k y under static load and an impulse of infinite length is analysed (conservative systems).

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Awrejcewicz, J., Krysko, V.A. (2020). Mathematical Model of Cylindrical/Spherical Shell Vibrations. In: Elastic and Thermoelastic Problems in Nonlinear Dynamics of Structural Members. Scientific Computation. Springer, Cham. https://doi.org/10.1007/978-3-030-37663-5_9

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