Planar Vibrations of Massive Vibro-Insulated Bodies Upon Arbitrary Displacement of the Base

The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form...

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Bibliographic Details
Published inSoil mechanics and foundation engineering Vol. 55; no. 3; pp. 190 - 194
Main Authors Chernov, Yu. T., Zebilila, M. D.-K.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.07.2018
Springer
Springer Nature B.V
Subjects
Civil Engineering
Displacement
Earth and Environmental Science
Earth Sciences
Economic models
Foundations
Free vibration
Geoengineering
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Impulse response
Mathematical analysis
Response functions
Structural Mechanics of Buildings Interacting with Bases
Transfer functions
Vibration (Physics)
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Summary:The solutions of the equations of planar vibrations of massive bodies upon arbitrary timevarying horizontal displacement of the base are constructed using transfer functions (TF) and impulse response functions (ITF) of linear dynamic systems. This approach makes it possible to obtain the closed-form solutions with harmonic and free vibrations and to construct stable algorithms for calculating systems arbitrary displacement of the base. The solutions are written in the form of an expansion in 'normal forms' directly in generalized coordinates. An example of a calculation is presented for the response and operating regimes of the vibrations due to an instantaneously applied harmonic perturbation.
ISSN:0038-0741
1573-9279
DOI:10.1007/s11204-018-9524-2