Dynamics of Articulated Structures. Part I. Theory

ABSTRACT A finite element based method is developed for geometrically nonlinear dynamic analysis of spatial articulated structures; i.e., structures in which kinematic connections permit large relative displacement between components that undergo small elastic deformation. Vibration and static correction modes are used to account for linear elastic deformation of components. Kinematic constraints between components are used to define boundary conditions for vibration analysis and loads for static correction mode analysis. Constraint equations between flexible bodies are derived in a systematic way and a Lagrange multiplier formulation is used to generate the coupled large displacement-small deformation equations of motion. A lumped mass finite element structural analysis formulation is used to generate deformation modes. An intermediate-processor is used to calculate time-independent terms in the equations of motion and to generate input data for a large-scale dynamic analysis code that includes coupled e...

[1]  A. S. Hall,et al.  An Analytical Study of the Dynamics of an Elastic Linkage , 1966 .

[2]  R. C. Winfrey,et al.  Elastic Link Mechanism Dynamics , 1971 .

[3]  Ho Chong Lee,et al.  Vibrations of Elastic Connecting Rod of a High-Speed Slider-Crank Mechanism , 1971 .

[4]  R. Macneal.  A hybrid method of component mode synthesis , 1971 .

[5]  R. C. Winfrey,et al.  Dynamic Analysis of Elastic Link Mechanisms by Reduction of Coordinates , 1972 .

[6]  G. N. Sandor,et al.  A General Method for Kineto-Elastodynamic Analysis and Synthesis of Mechanisms , 1972 .

[7]  P. Likins.  Dynamic analysis of a system of hinge-connected rigid bodies with nonrigid appendages. [equations of motion] , 1973 .

[8]  George N. Sandor,et al.  Deflection and Stress Analysis in High Speed Planar Mechanisms With Elastic Links , 1973 .

[9]  G. N. Sandor,et al.  A general method of kineto-elastodynamic design of high speed mechanisms , 1973 .

[10]  R. C. Winfrey,et al.  Analysis of Elastic Machinery With Clearances , 1973 .

[11]  G. N. Sandor,et al.  A Lumped Parameter Approach to Vibration and Stress Analysis of Elastic Linkages , 1973 .

[12]  P. Likins.  Analytical Dynamics and Nonrigid Spacecraft Simulation , 1974 .

[13]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[14]  J. Ho,et al.  The Direct Path Method for deriving the dynamic equations of motion of a multibody flexible spacecraft with topological tree configuration , 1974 .

[15]  W. Hooker.  Equations of motion for interconnected rigid and elastic bodies: A derivation independent of angular momentum , 1975 .

[16]  K. C. Pan,et al.  Dynamic Response of a High-Speed Slider-Crank Mechanism With an Elastic Connecting Rod , 1975 .

[17]  B. Bahgat,et al.  Finite element vibrational analysis of planar mechanisms , 1976 .

[18]  J. Wittenburg,et al.  Dynamics of systems of rigid bodies , 1977 .

[19]  J.Y.L. Ho,et al.  Direct Path Method for Flexible Multibody Spacecraft Dynamics (Originally schedulled for publication in the AIAA Journal) , 1977 .

[20]  R. Craig,et al.  On the use of attachment modes in substructure coupling for dynamic analysis , 1977 .

[21]  M. Quack,et al.  J. Wittenburg: Dynamics of Systems of Rigid Bodies. Teubner Verlag. Stuttgart 1977. 224 Seiten, Preis: DM 74,- , 1978 .

[22]  J. O. Song,et al.  Dynamic analysis of planar flexible mechanisms , 1980 .

[23]  Steven Dubowsky,et al.  The Application of Finite Element Methods to the Dynamic Analysis of Flexible Spatial and Co-Planar Linkage Systems , 1981 .

[24]  Roy R. Craig,et al.  Structural Dynamics: An Introduction to Computer Methods , 1981 .

[25]  E. Haug,et al.  Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems , 1982 .

[26]  James E Keat,et al.  Dynamical equations of multi-body systems with application to space structure deployment , 1982 .

[27]  A. Shabana,et al.  A Coordinate Reduction Technique for Dynamic Analysis of Spatial Substructures with Large Angular Rotations , 1983 .

[28]  J. Baillieul,et al.  Dynamics of rotating flexible structures , 1983, The 22nd IEEE Conference on Decision and Control.

[29]  J. Keat,et al.  Equations of motion of multibody systems for application to large space structure deployment , 1984 .