Abstract
This paper presents a nonlinear modeling method for dynamic analysis of flexible structures undergoing overall motions that employs the mode approximation method. This method, different from the naive nonlinear method that approximates only Cartesian deformation variables, approximates not only deformation variables but also strain variables. Geometric constraint relations between the strain variables and the deformation variables are introduced and incorporated into the formulation. Two numerical examples are solved and the reliability and the accuracy of the proposed formulation are examined through the numerical study.
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References
Bodley, C, Devers, A. Park, A. and Frisch, H., 1978, “A digital Computer Program for the Dynamic Interaction Simulation of Controls and Structure (DISCOS),”NASA TP-1219, Vols. 1 & 2.
Christensen, E. and Lee, S., 1986, “Nonlinear Finite Element Modeling of the Dynamics of Unrestrained Flexible Structures,”Computers and Structures, 23, pp. 819–829.
Frisch, H., 1975, “A Vector-Dyadic Development of the Equations of Motion for N-Coupled Flexible Bodies and Point Masses,”NASA TN D-8047.
Goldstein, H., 1980,Classical Mechanics, Addison Wesley, Publishing Company.
Ho, J., 1977, “Direct Path Method for Flexible Multibody Spacecraft Dynamics,”Journal of Spacecraft and Rockets, Vol. 14, pp. 102–110.
Hurty, W., Collins, J. and Hart, G., 1971, “Dynamic Analysis of Large Structures by Modal Synthesis Techniques,”Computers and Structures 1, pp. 553–563.
Kane, T., Ryan, R. and Banerjee, A., 1987, “Dynamics of Cantilever Beam Attached to a Moving Base,”Journal of Guidance, Control and Dynamics, 10, pp. 139–151.
Simo, J. and Vu-Quoc, L., 1986, “On the Dynamics of Flexible Beams Under Large Overall Motions-the Plane Case: Part I and Part II,”Journal of Applied Mechanics, 53. pp. 849–863.
Southwell, R. and Gough, F., 1921, “The Free Transverse Vibration of Airscrew Blades,”British A. R. C. Reports and Memoranda No. 766.
Yoo, H., 1992, “A Linear Dynamic Modeling Using Hybrid Deformation Variables for Rotating Structure,”Journal of The Korean Society for Aeronautical and Space Sciences, Vol. 19, No. 3, pp. 32–39.
Yoo, H., 1995, “Dynamic Analysis of Simply Supported Flexible Structures Undergoing Large Overall Motion,” Transaction of the KSME, Vol. 19, No. 6, pp. 1363–1370.
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Kim, JY., Hyun, SH. & Yoo, HH. Nonlinear modeling and dynamic analysis of flexible structures undergoing overall motions employing mode approximation method. KSME International Journal 16, 896–901 (2002). https://doi.org/10.1007/BF02949717
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DOI: https://doi.org/10.1007/BF02949717