The theory of deep rock mass is proposed as the complex hierarchy of block structures on the basis of the discontinuous and self-stressed rock mass structure in depth. We study the block structure of the rock mass steady-state response to the external periodic excitation. We get the resonance equation and the resonance condition for the block rock mass structure under external periodic excitations. The effects of the local mass and stress state between the adjacent rock blocks in block rock mass structure on the steady-state displacement of rock blocks are analyzed.
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Published in Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 1, pp. 94–101, January–March, 2012.
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Kai-xing, W., Yi-shan, P. & Dergachova, N. Steady-State Response of the Block Rock Mass to External Periodic Excitation and Resonance Condition. J Math Sci 201, 111–120 (2014). https://doi.org/10.1007/s10958-014-1977-x
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DOI: https://doi.org/10.1007/s10958-014-1977-x