Skip to main content
Log in

A bond graph approach to the modeling of general multibody dynamic systems

  • Published:
KSME International Journal Aims and scope Submit manuscript

Abstract

A vector bond approach which effectively leads to a compact form of Hamiltonian bond graph structure and naturally to Hamilton’s equation of motion is proposed for the modeling of general multibody dynamic system. The methods for determining required bond graph elements are formulated in terms of kinematic influence coefficients. All moduli of transformers and their time rate of changes are found by pure vector (matrix) operations for the readiness for computer simulation of the resulting bond graph.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Allen, R. R. and Dubowsky, S, 1977, “Mechanisms as Components of Dynamic Systems: a Bond Graph Approach,”Trans. ASME, J. Engr. Industry, Vol. 99, No. 1, pp. 104–111.

    Google Scholar 

  • Allen, R. R., 1979, “Multiport Representation of Inertia Properties of Kinematic Mechanisms,”J. Franklin Inst., Vol. 308, No. 3, pp. 235–253.

    Article  Google Scholar 

  • Allen, R. R., 1981, “Dynamics of Mechanisms and Machine Systems in Accelerating Reference Frames,”Trans. ASME, J. Dynamic Systems Measurement, and Control, Vol. 103, pp. 395–403.

    Article  Google Scholar 

  • Benedict, C. E. and Tesar, D., 1978a, “Model Formulation of Complex Mechanisms With Multiple Inputs: Part I—Theory,”J. Machine Design, Vol. 100, pp. 747–754.

    Google Scholar 

  • Benedict, C. E. and Tesar, D., 1978b, “Model Formulation of Complex Mechanisms With Multiple Inputs: Part II—The Dynamic Model,”J. Machine Design, Vol. 100, pp. 755–761.

    Google Scholar 

  • Bos, A. M., and Breedveld P. C., 1985, “1985 Update of the bond graph bibliography,”J. Franklin Inst., 319, pp. 269–286.

    Article  MATH  Google Scholar 

  • Bos, A. M., and Tiernego, M. J. I., 1985, “Formula Manipulation in the Bond Graph Modeling and Simulation of Large Mechanical Systems,”J. Franklin Inst., Vol. 319, No. 1/2, pp. 51–65.

    Article  MATH  Google Scholar 

  • Brown, F. T., 1972, “Lagrangian Bond Graph,”Trans. ASME. J. Dynamic Systems. Measurement and Control Vol. 94, No. 3, pp. 213–221.

    Google Scholar 

  • Cho, W., 1994, “Constraint Embedding in Kinematics and Dynamics of Hybrid Manipulator Systems,”KSME Journal Vol. 8, No. 1, pp. 6–18.

    Google Scholar 

  • Cho, W., Tesar, D., and Freeman, R. A., 1989, “The Dynamic and Stiffness Modeling of General Robotic Manipulator Systems with Antagonistic Actuation,”IEEE Proc. Robotics and Automation, Scottsdale, AZ., pp. 1380–1387

  • Huston, R. L. and Passerello, C. E., 1979, “On Multi-Rigid-Body System Dynamics,”Computer and Structures Vol. 10, pp. 439–446.

    Article  MATH  Google Scholar 

  • Kane, T. R. and Levinson, D. A., 1985,Dynamics: Theory and Applications, McGrawhill.

  • Karnopp, D. C., 1969, “Power-Conserving Transformations,”J. Franklin. Inst., Vol. 288, No. 3, pp. 175–201.

    Article  Google Scholar 

  • Karnopp, D. C, Margolis, D. L., and Rosenberg, R. C., 1990, “System Dynamics: A Unified Approach,” 2nd Ed., John Wiley & Sons, Inc.

  • Paul, B., 1975, “Analytical Dynamics of Mechanisms-A Computer Oriented View,”Mechanism and Machine Theory, Vol. 10, pp. 481–507.

    Article  Google Scholar 

  • Paul, B., 1989, “Computer Oriented Analytical Dynamics of Machinery,”NATO ASI series, Vol. 9, Computer Aided Analysis and Optimization of Mechanical System Dynamics, edited by E. J. Haug.

  • Paynter, H. M., 1960, “Analysis and Design of Engineering Systems,” M. I. T., Press, Cambridge, MA.

    Google Scholar 

  • Rosenberg, R. C., 1972, “Multiport Models in Mechanics,”Trans. ASME, J. Dynamic Systems, Measurement, and Control, Vol. 94, Ser. G, No. 3, pp. 206–212.

    Google Scholar 

  • Thomas, M. and Tesar, D., 1982, “Dynamic Modeling of Serial Manipulator Arms,”Trans. ASME, Sep. Vol. 104, pp. 218–227.

    Google Scholar 

  • Tiernego, M. J. L. and Bos, A. M., 1985, “Modeling the Dynamics and Kinematics of Mechanical Systems with Multibond Graphs,”J. Franklin Inst., Vol. 319, No. 1/2, pp. 37–50.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cho, W. A bond graph approach to the modeling of general multibody dynamic systems. KSME International Journal 12, 888–898 (1998). https://doi.org/10.1007/BF02945556

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02945556

Key Words

Navigation