The investigation of the influence of a local elastic nonlinearity on vibrations of plane truss members

• Autorzy: Pielorz A.
• Języki publikacji: EN

Abstrakty

EN

The paper concerns theoretical 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 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.

Słowa kluczowe

EN

discrete-continuous model; nonlinear dynamic; plane truss

PL

model dyskretno-ciągły; dynamika nieliniowa; kratownica płaska

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2003
• Tom: Vol. 51, iss.1
• Strony: 3--24
• Opis fizyczny: Bibliogr. 12 poz, wykr.

Twórcy

autor

Pielorz A.

• Polish Academy of Science, Institute of Fundamental Technological Research [Polska Akademia Nauk, Instytut Podstawowych Problemów Techniki], ul. Świętokrzyska 21, 00-049 Warsaw, Poland

Bibliografia

• 1. A.PIELORZ, Nonlinear discrete-continuous models in dynamic investigations of plane truss members, Engineering Transactions, 45, 133–152, 1997.
• 2. J.M. GERE, W. WEAYER, Analysis of framed structures, D.Van Nostrand Company, Inc. New York 1965.
• 3. W. NADOLSKI, A. PIELORZ, The use of elastic waves in dynamic investigations of plane truss members, The Archive of Mechanical Engineering, 43, 105–123, 1996.
• 4. A.NIEMIERKO, On the trusses [in Polish], WKiŁ, Warsaw 1987.
• 5. CHR. BOILER, T. SEEGER, Materials data for cyclic loading, Parts A–E, Elsevier, New York 1987.
• 6. H.B. STEWART, J.M.T. THOMPSON, Y. UEDA, A.N. LANSBURY, Optimal escape from potential wells – patterns of regular and chaotic bifurcation, Physica D, 85, 259–295, 1995.
• 7. W. GUTKOWSKI, J. BAUER, Z. IWANÓW, Explicit formulation of Kuhn–Tucker necessary conditions in structural optimization, Computers and Structures, 37, 753–758, 1990.
• 8. U. BERNHARD, W. HAUGER, The propagation of waves in impact-loaded spatial trusses, Archive of Applied Mechanics, 63, 556–566, 1993.
• 9. T.P. DESMOND, Theoretical and experimental investigation of stress waves injunction of three bars, J. Applied Mechanics, 48, 148–154, 1981.
• 10. J.P. LEE, Elastic waves produced by longitudinal impact on system with symmetrically branched rods, Int. J. Solids Structures, 8, 699–707, 1972.
• 11. P. HAGEDORN, Non-linear oscillations, Clarendon Press, Oxford 1981.
• 12. A.PIELORZ, Non-linear vibrations of a discrete-continuous torsional system with non-linearities having characteristic of a soft type, J. Sound and Vibration, 225(2), 375–389, 1999.