Abstract
The stability of columns under conservative forces has been the basis of structural stability theory, while the stability of columns under nonconservative forces has been only of recent interest in regard to structural stability. The stability of columns under the combined action of conservative and nonconservative forces has been an interesting topic in the field of structural stability problems, as it bridges the gap between the stability with conservative forces and the stability with nonconservative forces [1,2,3,4,5,6,7,8].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Leipholz, H. (1962). Die Knicklast des eiseitig eigespannten Stabes mit gleichmäßig verteiler, tangentialer Längsbelastung. Zeitschrift für Angewandte Mathematik und Physik, 6, 581–589.
Sugiyama, Y., Katayama, T., & Sekiya, T. (1969). Studies on nonconservative problems of instability of columns by difference method. In Proceedings of the 19th Japan National Congress for Applied Mechanics, 1969 (pp. 23–31). Tokyo: The University of Tokyo Press.
McGill, D. J. (1971). Column instability under weight and follower loads. Journal of the Engineering Mechanics Division, American Society of Civil Engineers, 97, 629–635.
Sugiyama, Y., Kawagoe, H., & Tanimoto, Y. (1974). Stability of elastic columns subjected to distributed sub-tangential follower forces. Reports of the Faculty of Engineering (vol. 5-1, pp. 1–10). Tottori University.
Sugiyama, Y., & Kawagoe, H. (1975). Vibration and stability of elastic columns under the combined action of uniformly distributed vertical and tangential forces. Journal of Sound and Vibration, 38(3), 341–355.
Celep, Z. (1977). On the vibration and stability of Beck’s column subjected to vertical and follower forces. Zeitschrift für Angewandte Mathematik und Mechanik, 57, 555–557.
Leipholz, H. (1980). Stability of Elastic Systems. Alphen aan den Rijn: Sijthoff & Noordhoff.
Sugiyama, Y., & Mladenov, K. A. (1983). Vibration and stability of elastic columns subjected to triangularly distributed sub-tangential forces. Journal of Sound and Vibration, 88(4), 447–457.
Katayama, K. (1997). Experimental verification of the effect of rocket thrust on the dynamic stability of cantilevered columns. Doctoral Thesis, Department of Aerospace Engineering, Osaka Prefecture University.
Sugiyama, Y., Katayama, K., Kiriyama, K., & Ryu, B.-J. (2000). Experimental verification of dynamic stability of vertical cantilevered columns subjected to a sub-tangential force. Journal of Sound and Vibration, 236(2), 193–207.
Mutyalarao, M., Bharathi, D., Narayana, K. L., & Nageswara Rao, B. (2017). How valid are Sugiyama’s experiments on follower forces? Letter to the Editor, International Journal of Non-Linear Mechanics, 93, 122–125.
Plaut, R. H. (1975). Optimal design for stability under dissipative, gyroscopic, or circulatory loads. In A. Sawczuk, Z. Mroz (Eds.), Optimization in structural design. Berlin: Springer.
Odeh, F., & Tadjbakhsh, I. (1975). The shape of the strongest column with a follower load. Journal of Optimization Theory and Applications, 15, 103–118.
Claudon, J. L. (1975). Characteristic curves and optimum design of two structures subjected to circulatory loads. Journal de Mécanique, 14, 531–543.
Hanaoka, M., & Washizu, K. (1980). Optimum design of Beck’s column. Computers & Structures, 11, 473–480.
Tada, Y., Seguchi, Y., & Kema, K. (1985). Shape determination of nonconservative structural systems by the inverse variational principle. Memoirs of the Faculty of Engineering (vol. 32, pp. 45–61). Kobe University.
Gutkowski, W., Mahrenholz, O., Pyrz, O. (1983). Minimum weight design of structures under nonconservative forces. In G. I. N. Rozvany (Ed.), Optimization of large structural systems (pp. 1087–1100). Dortrecht: Kluwer.
Ringertz, U. T. (1994). On the design of Beck’s column. Structural Optimization, 8, 120–124.
Langthjem, M. A., & Sugiyama, Y. (1999). Optimum design of Beck’s column with a constraint on the static buckling load. Structural Optimization, 18, 228–235.
Langthjem, M. A., & Sugiyama, Y. (2000). Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part I: The undamped case, Computers & Structures, 74, 385–398.
Langthjem, M. A., & Sugiyama, Y. (2000). Optimum design of cantilevered columns under the combined action of conservative and nonconservative loads. Part II: The damped case, Computers & Structures, 74, 399–408.
Sugiyama, Y., Langthjem, M. A., Iwama, T., Kobayashi, M., Katayama, K., & Yutani, H. (2012). Shape optimization of cantilevered columns subjected to a rocket-based follower force and its experimental verification. Structural and Multidisciplinary Optimization, 46, 829–838.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Sugiyama, Y., Langthjem, M.A., Katayama, K. (2019). Columns under a Rocket-Based Subtangential Follower Force. In: Dynamic Stability of Columns under Nonconservative Forces. Solid Mechanics and Its Applications, vol 255. Springer, Cham. https://doi.org/10.1007/978-3-030-00572-6_12
Download citation
DOI: https://doi.org/10.1007/978-3-030-00572-6_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00571-9
Online ISBN: 978-3-030-00572-6
eBook Packages: EngineeringEngineering (R0)