IDENTIFICATION OF EQUIVALENT STATIC FORCES AS PART OF ANALYSIS OF SYSTEMS THAT HAVE DISRUPTABLE CONSTRAINS

Vestnik MGSU 4/2012
  • Chernov Yuriy Tikhonovich - Central Scientific Research Institute for Building Structures named after V.A. Kucherenko (V.A. Kucherenko CSRIBS) Doctor of Technical Sciences, Professor, Central Scientific Research Institute for Building Structures named after V.A. Kucherenko (V.A. Kucherenko CSRIBS), 6 2nd Institutskaya St., Moscow, 109428, Russian Federation.
  • Petrov Ivan Aleksandrovich - Moscow State University of Civil Engineering (MSUCE) postgraduate student, Department of Structural Mechanics, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 98 - 101

The algorithm of analysis of systems that have disruptable constrains is described in the article. The algorithm is based on the joint solving of two linear systems. The first linear system is the one that describes the processes before constraints get disrupted; the second linear system represents the system describing the processes in the aftermath of disruption of constrains with account for the influence of free vibrations. Free vibrations are caused by disrupted constraints. The proposed approach is more effective, if applicable to the systems that have their constraints disrupted only once. Also, the method describing disrupted constraints is considered as a special case of physical nonlinearity. Physical non-linearity adds some fictitious load to regular loads.
Formulas of equivalent static loads, with the help of which the systems are analyzed when constraints are disrupted, are generated. No inertial force is to be derived to obtain equivalent static loads. This is important in view of their application in dynamic analyses .
Analysis of the static system in the event of disrupted constraints is based on the equations derived by the authors. The result of the analysis represents an inverse linear relation of static loading and relative stiffness of the system with disrupted constraints. This means that the lower the stiffness of the system, the higher the static loading.

DOI: 10.22227/1997-0935.2012.4.98 - 101

References
  1. Chernov Yu.T. Vibratsii stroitel'nykh konstruktsiy [Vibrations of Engineering Structures]. Moscow, ASV Publ., 2011, 382 p.
  2. Timoshenko S.P., Yang D.Kh., Univer U. Kolebaniya v inzhenernom dele [Vibrations in Engineering]. Мoscow, Mashinostroenie [Machine Building],1985, 472 p.
  3. Chernov Yu.T. K raschetu sistem s vyklyuchayushchimisya svyazyami [About the Analysis of Systems That Have Disruptable Constraints]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Analysis of Structures]. 2010, no. 4, pp. 53—57.

Download

Results 1 - 1 of 1