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RESEARCH OF HEREDITARILY DEFORMABLE STRUCTURES UNDER SEISMIC IMPACTS

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This article examines the responses of a structure to both single-component and multi-component seismic impacts if they are generally described by three linear displacements and three rotations of the foundation relative to three orthogonal axes. A mathematical apparatus has been created that allows developing statistical theories of seismic resistance for studying hereditarily deformable structures under random seismic impacts. Using impulse transition functions, having established the explicit form of the reaction of hereditarily deformable structures to an arbitrary form of random disturbance, it is possible to determine: the mathematical expectation and moments of the outgoing process; correlation functions; spectral densities, i.e. it is possible to establish all the probabilistic-statistical characteristics of the dynamic processes being studied.

AUTHORS

A.Abdukarimov

Tashkent State Technical University

K.Nuratdinov

Tashkent State Technical University

Tags

# задачи Коши# mathematical expectation# математическое ожидание# integro-differential equation (I# matematik apparat# mathematical apparatus# Cauchy problems# seismic impact# seismic resistance theory# Integro-differensial tenglama (I# Koshi masalalari# matematik kutish# seysmik ta'sir# seysmik qarshilik nazariyasi# математический аппарат# сейсмические воздействие# теория сейсмостойкости

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References

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