The vibroacoustic analogies method

Abstract

The article deals with the main problem of computational dynamic modeling of building structures, which is associated with the computational modeling of dynamic parameters of structural elements. The methods and schemes of construction of dual analogies between such dynamic properties of designs elements as inertia, rigidity and pliability to dynamic loadings are presented. The Vibroacoustic analogies for Ohm’s law, Kirchhoff’s laws, Hooke and Newton and the mathematical analogies between acoustic and electrical impedances for the elements of building structures are considered. The patterns of Vibroacoustic analogies for the resonance properties simulation of structural elements are examined. It is shown that the elements of the design have a multi-mode acoustic impedance. It is shown that correct modal analysis of structural elements dynamic reaction is a necessary condition for the correct simulation dynamic reaction schemes of buildings and structures to the effects of dynamic loads as complex mechanical systems. The article shows the convenience of using vibroacoustic analogies both in calculations of dynamic load distribution on building structures elements and in dynamic monitoring data interpretation of buildings and structures technical condition. The dynamic models of design are analyzed taking into account their vibroacoustic interaction in the acoustically coupled system of structural elements. The article presents equivalent schemes and systems of equations calculation modeling of the distribution of dynamic stress and strain in the building structure space. As an example, the computational modeling principles of dynamically indeterminate mechanical systems of buildings and structures is considered.