Transient response of a circular cavity under the radial inhomogeneous load

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (20) : 252-259.

GENG Daxin，TAO Biao，HU Wentao

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Abstract

Based on the theory of elastic medium dynamics, the dynamic response of a circular cavity under transient radial inhomogeneous load was studied.Considering the circular cavity inner surface stress boundary conditions of uneven, the numerical solution of stress and displacement of sourrounding rock was obtained in the time domain under unit impulse load by an expansion method for wave function and the Laplace transform method.The factors, such as wave characteristics of radial nonuniform transient loads and shear modulus, produce effects on the distribution of stress and displacement in radial and annular direction.The effects were analyzed through an example.The dynamic response of tangential stress and displacement were asynchronous with time, and the position of peak value changes from 0 to π over time.When the dimensionless parameter of time was greater than 2, radial stress damped obviously.When the dimensionless parameter of time was greater than 8, radial displacement and tangential response damped to 0 gradually.The vibration period of radial stress is minimal.Shear modulus has significant influence on the amplitude of cavity inner surface displacement.Under non-uniform load, the response amplitude of non-uniform location is obviously greater than that of other positions, and the response of radial stress and displacement is greater than that of ring direction, and the attenuation speed is faster.

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radial inhomogeneity / laplace transform / cylindrical cavity / dynamic response

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GENG Daxin，TAO Biao，HU Wentao. Transient response of a circular cavity under the radial inhomogeneous load[J]. Journal of Vibration and Shock, 2019, 38(20): 252-259

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