The use of experimental tests in the formulation of analytical models for the finite forced dynamics of planar arches

Proceedings of the ASME Design Engineering Technical Conference

Volumn 6 C, Issue , 2001, Pages 2667-2673

  Alaggio, Rocco ^a   Benedettini, Francesco ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Arches; Dynamic instability; Experiments

Indexed keywords

ACCELERATION; BIFURCATION (MATHEMATICS); NONLINEAR SYSTEMS; SYSTEM STABILITY; ANALYTICAL MODELS; ARCHES; DESIGN;

FINITE FORCED DYNAMICS; PLANAR ARCHES; BIFURCATION CONDITION; CONCENTRATED FORCE; CONTINUOUS PROBLEMS; DISCRETIZATIONS; EXPERIMENTAL ANALYSIS; EXPERIMENTAL TEST; POST-CRITICAL BEHAVIOR; SYMMETRIC SOLUTION;

GALERKIN METHODS; VIBRATIONS (MECHANICAL);

EID: 0035791257     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

1. Benedettini, F., 1996, "An Experimental Time Series Analysis Approach in the Classification of Non Periodic Motions in Nonlinear Structural Dynamics", Proc. of the Third European Conference on Structural Dynamics: EURODYN 96, Augusti, Borri, Spinelli eds., A.A. Baklema, Rotterdam, 415-421.
2. Benedettini F., 1997, "Planar finite forced dynamics of a double hinged circular arch: theory and experiments", Proc. of the 1997 ASME DETC, Sacramento, VIB-4092 1-6.
3. Benedettini, F., 2000, "Theoretical and experimental evidence of symmetric-response instability in the finite, planar dynamics of a circular arch", in Recent development in Nonlinear Oscillations of Mechanical Systems (Eds. E. Kreuzer, N. van Dao), 11-22.
4. Bolotin, V.V., 1964, "The Dynamic Stability of Elastic Systems" (Translated by V. I. Weingarten et al.), San Francisco, Holden-Day.
5. Cusumano, J.P. and Bai, B.Y., 1993: Period-infinity Periodic Motions, Chaos, and Spatial Coherence in a 10 Degree of Freedom Impact Oscillator, Chaos Solitons & Fractals 3,5,515-535.
6. Henrych J., 1981, "The Dynamics of Arches and Frames" (Translated by R. Major), Amsterdam, Elsevier.
7. Mettler, E., 1962, "Dynamic Buckling" in Handbook of Engnr. Mechanics ed. by Flügge W., McGraw Hill.
8. Takens, F., 1981, "Detecting strange attractors in turbulence", Dynamical Systems and Turbulence, D.A. Rand and L.S. Yang, eds., Springer Lecture Notes in Mathematics, Springer Verlag, New York, 898, 266-281.
9. Thomsen J.J., 1992, "Chaotic Vibrations of Non-Shallow Arches", Journal of Sound and Vibration, 153(2), 239-258.
10. Win-Min Tien, Sri Namachchivaya, N. and Bajaj, A. 1994, "Non-Linear Dynamics of a Shallow Arch Under Periodic Excitation-1. 1:2 internal resonance". Int. J. Non-Linear Mech. 29, 349-366.
11. Win-Min Tien, Sri Namachchivaya, N. and Bajaj, A. 1994 "Non-Linear Dynamics of a Shallow Arch Under Periodic Excitation-1. 1:1 internal resonance". Int. J. Non-Linear Mech. 29, 367-386.