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Numerical Modeling of the Dynamic Problem of Building Foundation Interaction
Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
State Unitary Enterprise “Research Institute ‘Construction and Architecture’” of the Committee for Architecture and Construction under the Government of the Republic of Tajikistan, Dushanbe, Republic of Tajikistan
Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
- 1 Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
- 2 Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
- 3 State Unitary Enterprise “Research Institute ‘Construction and Architecture’” of the Committee for Architecture and Construction under the Government of the Republic of Tajikistan, Dushanbe, Republic of Tajikistan
- 4 Institute of Geology, Earthquake Engineering and Seismology of the National Academy of Sciences of Tajikistan (NAST), Dushanbe, Republic of Tajikistan
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Abstract
This article considers the direct solution of the dynamic problem of building-foundation interaction. A mathematical model of the interaction between a building and a deformable foundation is presented. A numerical method of successive approximations of velocities and accelerations, varying over time, is proposed. A numerical algorithm and a computer program have been developed, and studies of free and forced oscillations of the dynamic model of the building have been carried out. Numerical experiments were conducted, and results were obtained using a frame building as an example. The results are given for a simplified model considering linear and angular displacements of the foundation slab.
KeywordsSeismic ResponseSoft SoilInteraction EffectRockingHomogeneous FoundationShear WaveDynamic ModelDamping Matrix
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