Free vibrations and stability of a geometrically nonlinear cantilever column loaded by a follower force directed towards the positive pole supported at the loaded end by a spring

• Autorzy: Tomski, L. , Uzny, S.
• Konferencja: Symposium Vibrations In Physical Systems (23 ; 28-31.05.2008 ; Będlewo koło Poznania ; Polska)
• Języki publikacji: EN

Abstrakty

EN

The formulation and solution to stability problem and free vibrations of the geometrically non-linear system loaded by the follower force directed towards the positive pole is presented in the paper. The system is supported at the loaded end by a spring with linear characteristics. The boundary problem was formulated on the basis of Hamilton’s principle and, owing to its non-linearity, on the use of the straightforward expansion method. Bifurcation force and characteristic curves (in the plane: load − free vibration frequency) have been determined on the basis solution of boundary value problem. Calculations have been carried out at difference physical and geometrical parameters of considered systems.

Słowa kluczowe

PL

słup; stabilność; drgania swobodne

EN

column; stability; free vibrations

• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2008
• Tom: Vol. 23
• Strony: 365--370
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Tomski, L.

• Technical University of Częstochowa, Intitute of Mechanics and Machine Design Foundations, ul. Dąbrowskiego 73, 42-200 Częstochowa

autor

Uzny, S.

• Technical University of Częstochowa, Intitute of Mechanics and Machine Design Foundations, ul. Dąbrowskiego 73, 42-200 Częstochowa,

Bibliografia

• 1. TOMSKI L.: Prebuckling Behaviour of Compound Column – Direct Nonlinear Analysis, ZAMM, Z. Angew. Math. U. Mech. 65, 1985, 1, 59-61.
• 2. TOMSKI L., PODGÓRSKA-BRZDĘKIEWICZ I.: Drgania swobodne i stateczność kolumn poddanych obciążeniu swoistemu – podatne węzły konstrukcyjne układu wywołujacego i przejmującego obciążenie, rozdział 4, Drgania i stateczność układów smukłych, Praca zbiorowa wykonana pod kierunkiem naukowym i redakcją L. TOMSKIEGO, Wydawnictwa Naukowo Techniczne, Fundacja „Książka Naukowo-Techniczna”, Warszawa 2004, 134-187.
• 3. TOMSKI L., PRZYBYLSKI J.: Postbuckling Behavior of the Clamped-Elastically Supported Planar Structure under Follower Force, AIAA Journal, 25(4), 1987, 605- 610.
• 4. TOMSKI L., SZMIDLA J.: Local and global instability and vibration of overbraced Euler’s column, Journal of Theoretical and Applied Mechanics 41, 1, 2003, 137-154.
• 5. TOMSKI L., SZMIDLA J., UZNY S.: The Local and Global Instability and Vibration of Systems Subjected to Non-Conservative Loading, Thin-Walled Structures, 45, 10-11, 2007, 945-949.
• 6. TOMSKI L., UZNY S.: Free vibration and the stability of a geometrically nonlinear column loaded by a follower force directed towards the positive pole, International Journal of Solids and Structures, 45, 1, 2008, 87-112.