Vibrations and stability of Bernoulli-Euler and Timoshenko beams on two-parameter elastic foundation

• Autorzy: Obara P.

Identyfikatory

DOI

10.2478/ace-2014-0029

• Języki publikacji: EN

Abstrakty

EN

The vibration and stability analysis of uniform beams supported on two-parameter elastic foundation are performed. The second foundation parameter is a function of the total rotation of the beam. The effects of axial force, foundation stiffness parameters, transverse shear deformation and rotatory inertia are incorporated into the accurate vibration analysis. The work shows very important question of relationships between the parameters describing the beam vibration, the compressive force and the foundation parameters. For the free supported beam, the exact formulas for the natural vibration frequencies, the critical forces and the formula defining the relationship between the vibration frequency and the compressive forces are derived. For other conditions of the beam support conditional equations were received. These equations determine the dependence of the frequency of vibration of the compressive force for the assumed parameters of elastic foundation and the slenderness of the beam.

Słowa kluczowe

EN

Bernoulli-Euler beam; Timoshenko beam; elastic foundation; stability; vibration

PL

belka Bernoulliego-Eulera; belka Timoshenki; podparcie elastyczne; stabilność; drganie

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2014
• Tom: Vol. 60, nr 4
• Strony: 421--440
• Opis fizyczny: Bibliogr. 33 poz., il., tab.

Twórcy

autor

Obara P.

• Kielce University of Technology, Faculty of Civil and Environmental Engineering, Poland

Bibliografia

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