Engineering Transactions, 45, 1, pp. 133–152, 1997

Nonlinear Discrete-Continuous Models in Dynamic Investigations of Plane Truss Members

A. Pielorz
Polish Academy of Sciences

The paper presents dynamic investigations of plane trusses subject to longitudinal deformations, using nonlinear discrete-continuous models. An external excitation is applied to a rigid body located in a truss joint. In this joint, a discrete element with a spring having a nonlinear stiffness is also located. In the considerations the wave method is applied which enables to determine displacements, strains and velocities in arbitrary cross-sections of the truss members at an arbitrary time instant. Numerical calculations are performed for two nonlinear models of the plane truss in steady as well as in transient states.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


J.M. GERE and W. WEAVER, Analysis of framed structures, D.Van Nostrand Company, Inc., New York 1965.

W. NADOLSKI and A. PIELORZ, The use of elastic waves in dynamic investigations of plane truss members, The Arch. of Mech. Engng., 43, 105–123, 1996.

A. NIEMIERKO, On the trusses [in Polish], WKiŁ, Warsaw 1987.

W. GUTKOWSKI, J. BAUER and Z. IWANOW, Explicit formulation of Kuhn–Tucker necessary conditions in structural optimization, Computers and Structures, 37, 753–758, 1990.

U. BERNHARD and W. HAUGER, The propagation of waves in impact–loaded spatial trusses, Arch. Appl. Mech., 63, 556–566, 1993.

T.P. DESMOND, Theoretical and experimental investigation of stress waves in junction of three bars, J. Appl. Mech., 48, 148–154, 1981.

J.P. LEE, Elastic waves produced by longitudinal impact on system with symmetrically branched rods, Int. J. Solids Structures, 8, 699–707, 1972.

P. HAGEDORN, Non-linear oscillations, Clarendon Press, Oxford 1981.

A. PIELORZ, Dynamic analysis of a nonlinear discrete-continuous torsional system by means of wave method, ZAMM, 75, 691–698, 1995.

DOI: 10.24423/engtrans.686.1997