Dynamic Reductions for the Nonlinear Soil-Foundation-Structure System Interactions

The article presents new dynamic superelements for DOF (degrees of freedom) reduction. Proposed spectral superelements (SES) are based on the method of normal coordinates. The developed superelements with basis nodes (SEB) for the inhomogeneous systems are also shown. Proposed superelements ensure to obtain the diagonal matrix of masses which allow to use the efficiency of explicit method. The results of nonlinear analysis using proposed reduction method for the group of high-rise building are presented. The calculations were performed by explicit method with the help of Automated System of Scientific Research (ASSR) “VESNA-DYN”.

REFERENCES (9)

Boyko, I., Sakharov, O., Sakharov, V.: Behavior of the multistory building under seismic loads with the account of the viscoplasticity of the soil base, Proceedings International Conference on Soil Mechanics and Geotechnical Engineering, Paris, P.1443-1446 (2013).

Google Scholar

Clough Ray W., Dinamika soorurzenii (rus) [Dynamics of structures]: Transl. from english by Clough Ray W, Penzien G, М.: Stroiizdat, 1979. - 320p.

Google Scholar

Craig, Jr. R.R., Bampton V.C.C. Coupling of substructures for dynamic analyses, AIAA Journal. Vol. 6, no. 7. P. 1313-1319. DOI: 10.2514/3.4741], 1968.

CrossRef

Google Scholar

Gajan R. Privedenie matric zhjostkosti i massy. (rus.) / Raketnaja tehnika i kosmonavtika (russk. Perevo dzhurnala American Institute of Aeronautics and Astronautics). 1965. T. 3, № 2. S. 287. [Guyan R.J. Distributed mass matrix for plate element bending // AIAA Journal. 1965. Vol. 3, no. 3. P. 567-568.].

Google Scholar

NUREG - 0800. Standard Review Plan for the of Safety Analysis Report for Nuclear Power Plants [electronic document]. http://www.nrc.gov.

Google Scholar

Poponin V.S., Kosheutov A.V., Grigor'ev V.P., Mel'nikova V.N. (2010), Metod spektral'nykh elementov dlya resheniya ploskikh zadach dinamiki vyazkoj zhidkosti na neraznesennykh nestrukturirovannykh setkakh [The method of spectral elements for solution of plane viscous fluid dynamics problems in the unstructured unstructured grids]. The News Magazine of the Tomsk Polytechnic University. - Tomsk, Issue 2., Volume 317, P31-36.

Google Scholar

Sakharov, V. (2017) Dynamic model reduction in the nonlinear interaction simulation of the neighboring high-rise buildings on the soil base, CMM2017 - 22th IC on Computer Methods in Mechanics, 13-16 September 2017, Lublin, Poland: short papers.

Google Scholar

Sakharov, V.: Zаstosuvаnnia spеktrаlnykh supеrеlеmеntiv v zаdаchаkh dynаmiky systеmy "osnovа - fundаmеnt - budivlia" [Use of spectral superelements in dynamic analysis of “soil base - foundation - building” systems]/V.O. Sаkhаrov, Visnyk Prydniprovskoi dеrzhаvnoi аkаdеmii budivnytstvа tа аrkhitеktury [Bulletin of ridniprovsk State Academy of Civil Engineering and Architecture]. - D.: PDABA, 2015.- №1(202). - P.37-46.

Google Scholar

Zu-Qing Qu.: Model Order Reduction Techniques with Applications in Finite Element, Springer-Verlag London, 2004.

Google Scholar

Submit your paper

eISSN:	2450-8594
ISSN:	2080-5187