A new computation scheme is presented for the response analysis of flexible frame structures with time-varying shape and attitude. The governing equations for a continuum are derived in the form of integral equations for the member joint displacements alone. The integral equations can be solved easily by transforming them into ordinary differential equations and introducing additional mass corresponding to the inertial force due to the rigid-body axial translation and rotation of members. The scheme is applied to deploying, extending, and rotating space structures and a three-dimensionally moving link-connected structure.
Issue Section:
Research Papers
1.
Banerjee
A. K.
Dickens
J. M.
1990
, “Dynamics of an Arbitrary Flexible Body in Large Rotation and Translation
,” Journal of Guidance, Control and Dynamics
, Vol. 13
, No. 2
, pp. 221
–227
.2.
Ho
J. Y. L.
Herber
D. R.
1985
, “Development of Dynamics and Control Simulation of Large Flexible Space Systems
,” Journal of Guidance, Control and Dynamics
, Vol. 8
, No. 3
, pp. 374
–383
.3.
Ibrahim
A. E.
Misra
A. K.
1982
, “Attitude Dynamics of a Satellite During Deployment of Large Plate-Type Structures
,” Journal of Guidance, Control and Dynamics
, Vol. 5
, No. 5
, pp. 442
–447
.4.
Ibrahim, A. M., and Modi, V. J., 1986, “A Formulation for Studying Steady State/Transient Dynamics of a Large Class of Spacecraft and its Application,” Proceedings of the Second International Symposium on Spacecraft Flight Dynamics, Darmstadt, FR Germany, 20–23 October 1986 (ESA SP-255 Dec. 1986).
5.
Misra
A. K.
Modi
V. J.
1982
, “Deployment and Retrieval of Shuttle Supported Tethered Satellites
,” Journal of Guidance, Control and Dynamics
, Vol. 5
, No. 3
, pp. 278
–285
.6.
Sunada
W.
Dubowsky
S.
1981
, “The Application of Finite Element Methods to the Dynamic Analysis of Flexible Spatial and Co-Planar Linkage Systems
,” ASME Journal of Mechanical Design
, Vol. 103
, No. 3
, pp. 643
–651
.7.
Tadikonda
S. S. K.
Chang
H. T.
1995
, “On the Geometric Stiffness Matrices in Flexible Multibody Dynamics
,” ASME Journal of Vibration and Acoustics
, Vol. 117
, No. 4
, pp. 452
–461
.8.
Utsumi
M.
1991
, “Active Vibration Control of a Three-dimensional Flexible Frame Structure
,” JSME International Journal, Series III
, Vol. 34
, No. 2
, pp. 176
–185
.
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