Engineering Transactions, 51, 1, pp. 3–24, 2003

The Investigation of the Influence of a Local Elastic Nonlinearity on Vibrations of Plane Truss Members

A. Pielorz
Institute of Fundamental Technological Research, Polish Academy of Sciences

The paper concerns theoretical investigations of plane trusses subject to longitudinal de-formations, using nonlinear discrete-continuous models. An external excitation is applied to a rigid body located in a truss joint. In this joint a visco-elastic discrete element with a spring having a nonlinear symmetric stiffness is also located. It is assumed that the spring characteristic is of a soft type. Four nonlinear functions describing this characteristic are proposed. In the considerations the wave method is applied similarly to the case of a hard characteristic in [1]. The numerical analysis focus on the investigation of the effect of the local nonlinearity with a soft characteristic for two examples of plane trusses.
Keywords: nonlinear dynamics; discrete-continuous models; plane trusses
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