Abstract
The purpose of this paper is to justify that it is necessary to take into account physical and mechanical properties of soil and different materials of erected structures for damping vibrations in dynamic loads, and to suggest tools for modelling the damping effect (natural or engineering induced) between foundation and soil. A technique is suggested for modelling the behavior of structure in time history analysis taking into account material damping. When solving this problem, the following results were obtained: the physical meaning of material damping was described; Rayleigh damping coefficients were computed through modal damping coefficients. Numerical analysis was carried out for the structure together with soil in earthquake load. Time history analysis was carried out for the problem. Peak values of displacement, speed and acceleration at the roof levels were compared. Analysis results were compared (with and without taking into account material damping). Significant influence of damping on the stress-strain state of the structure has been confirmed.
Highlights
Structural dynamics as a science appeared in the ‘20s of the XX century due to the practical needs of construction, a significant increase in dynamic loads on structures: increased capacity and speed of machines, the speed of moving loads, etc
Development of structural dynamics in those years lagged significantly behind its theoretical base – the theory of oscillations and building mechanics, and actual information obtained in dynamic tests of structures
The method of expansion by mode shapes of natural vibrations may be applied only for linear analysis, since the superposition principle is not applied to the nonlinear theory
Summary
Structural dynamics as a science appeared in the ‘20s of the XX century due to the practical needs of construction, a significant increase in dynamic loads on structures: increased capacity and speed of machines, the speed of moving loads, etc. Development of structural dynamics in those years lagged significantly behind its theoretical base – the theory of oscillations and building mechanics, and actual information obtained in dynamic tests of structures. One of the main parameters that determine the behavior of a structure under conditions of harmonic, random, or other dynamic effects is its damping characteristics. The aim of this work is to study the forced vibrations of steel and concrete structures
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