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IssuesArchive of Issues2007-6pp.965-973

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T. V. Grishanina and F. N. Shklyarchuk, "Determination of corrective local compliances of structures for use in vibration computations," Mech. Solids. 42 (6), 965-973 (2007)
Year 2007 Volume 42 Number 6 Pages 965-973
Title Determination of corrective local compliances of structures for use in vibration computations
Author(s) T. V. Grishanina (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia)
F. N. Shklyarchuk (Moscow Aviation Institute (State University of Aerospace Technologies), Volokolamskoe sh. 4, GSP-3, A-80, Moscow, 125993, Russia, shklyarchuk@list.ru)
Abstract Usually, thin-walled structures, in particular, aircraft, launchers, and space structures, are irregular compound systems. In structure dynamics, they are usually represented as separate mutually interacting substructures [13]. Very often, different substructures are connected at separate nodes. This is typical of separable blocks, suspensions, and transformable details [4]. At such nodes, considerable local strains and compliances may arise in connected substructures, which significantly affects the dynamic characteristics of the entire structure. In engineering practice, the local compliances of a structure at connection nodes are often modeled by equivalent springs whose characteristics are determined by approximate methods [5] and expeirents. The substructure synthesis method, the methods for calculating the dynamic characteristics of compound structures, and the methods for their refinement have been considered in numerous papers; here we note the publications [610].

In the present paper, we propose a method for calculating additional (corrective) local compliances at the connection nodes of compound structures on the basis of quasistatic strain equations and for taking these compliances into account in the equations of dynamics of compound structures obtained by expanding the displacements with respect to lower vibration modes of the substructures.
References
1.  B. I. Rabinovich, Introduction to the Dynamics of Spacecraft Launchers (Mashinostroenie, Moscow, 1975) [in Russian].
2.  V. I. Usyukin, Structural Mechanics of Space Technology Structures (Mashinostroenie, Moscow, 1988) [in Russian].
3.  N. V. Banichuk, I. I. Karpov, D. M. Klimov, et al., Mechanics of Large Space Structures (Faktorial, Moscow, 1997) [in Russian].
4.  K. S. Kolesnikov, V. V. Kokushkin, S. V. Borzykh, and N. V. Pankova, Computations and Design of Rocket Stage Separation System (Izd-vo MGTU im. Baumana, Moscow, 2006) [in Russian].
5.  F. N. Shklyarchuk, Dynamics of Aircraft Structures (Izd-vo MAI, Moscow, 1983) [in Russian].
6.  R. R. Craig, "Methods of Component Mode Synthesis," The Shock and Vibration Digest 9 (11), 3-10 (1997).
7.  A. L. Hale and L. Meirovitch, "A General Procedure for Improving Substructure Representations in Dynamic Synthesis," J. Sound and Vibration 84 (2), 269-287 (1982).
8.  A. V. Anisimov, V. N. Vylomov, V. V. Zabudkin, et al., "Methods for Calculating Dynamical Loads on Compound Rocket Structures with Separation of Quasistatic Components," Kosmonavtika i Raketostroenie, No. 4, 95-107 (1995).
9.  S. N. Dmitriev, "Formation of the System Frequency Equation in the Method of Residual Compliances," in Mechanics in Aviation and Cosmonautics (Mashinostroenie, Moscow, 1995), pp. 65-69 [in Russian].
10.  V. G. Grigor'ev, "On Computational Aspects of the Correcting Series Application in the Synthesis of Substructures by the Free Boundary Method," Vestnik MGTU, Ser. Mashinostroenie, No. 4, 17-27 (1998).
11.  V. Z. Vlasov, Selected Works, Vol. 1 (Izd-vo AN SSSR, Moscow, 1962) [in Russian].
Received 12 February 2007
Link to Fulltext http://www.springerlink.com/content/l27lv61385r7768n
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