Summary
An analysis is made of the problem of vibrations of a beam with an axial force resting on eltstic foundation, when the beam is uniform and of finite length and is subjected to an impulsive load. The solution is presented within the framework of a beam theory which includes the effects of shear deformation and rotary inertia. An example is provided where the dynamic coefficient for the bending moment is calculated. From the results of theoretical analysis, it becomes evident that the axial force in the beam and the stiffness of the foundation have considerable effect upon the dynamical behaviour of the system.
Übersicht
Die Schwingungen eines auf elastischer Grundlage liegenden Balkens, der durch eine Axialkraft beansprucht ist, werden für den Fall analysiert, daß der Balken gleichförmig und von endlicher Länge ist, und daß eine Schlagbelastung an dem Balken angreift. Die Lösung wird innerhalb der Balkentheorie gegeben, die die Wirkung der Schubverformung und die Drehträgheit berücksichtigt. In einem Beispiel wird der Schwing-beiwert für das Biegemoment ermittelt. Die Ergebnisse zeigen, da\ die Axialkraft und die Steifigkeit der elastischen Grundlage auf das dynamische Verhalten des Systems erheblichen Einfluß haben.
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References
Seelig, J. M.; Hoppmann II, W. H.: Impact on an Elastically Connected Double-Beam System. Trans. ASME, Ser. E, 31 (1964) 621–626
Kessel, P. G.: Resonances Excited in an Elastically Connected Double-Beam System by a Cyclic Moving Load. J. Acous. Soc. Amer. 40 (1966) 684–687
Rao, S. S.: Natural Vibration of Systems of Elastically Connected Timoshenko Beams. J. Acous. Soc. Amer. 55 (1974) 1232–1237
Chonan, S.: Dynamic Behaviours of Elastically Connected Double-Beam Systems Subjected to an Impulsive Load. Bull. JSME 19 (1976) 595–603
Achenbach, J. D.; Sun, C. T.: Moving Load on a Flexibly Supported Timoshenko Beam. Int. J. Solids Struct. 1 (1965) 353–370
Steele, C. R.: The Timoshenko Beam with a Moving Load. Trans. ASME, Ser. E, 35 (1968) 481–488
Kerr, A. D.: The Continuously Supported Rail Subjected to an Axial Force ans a Moving Load. Int. J. Mech. Sci. 14 (1972) 71–78
Chonan, S.: The Elastically Supported Timoshenko Beam Subjected to an Axial Force and a Moving Load. Int. J. Mech. Sci. 17 (1975) 573–581
Chonan, S.: Moving Harmonic Load on an Elastically Supported Timoshenko Beam. Z. Angew. Math. Mech. 58 (1978) 9–15
Sun, C. T.: On the equation for a Timoshenko Beam under Initial Stress. Trans. ASME, Ser. E, 39 (1972) 282–285
Suzuki, S.: The Effects of Axial Forces to Dynamic Load Factors of the Beam Subjected to Transverse Impulsive Loads. J. Roy. Aeron. Soc. 71 (1967) 860–864
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The author wishes to acknowledge the consistent guidance and encouragent of Professor H, Saito of Tohoku University.
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Chonan, S. Dynamic coefficient of an elastically supported, pre-stressed beam. Ing. arch 47, 187–196 (1978). https://doi.org/10.1007/BF01047410
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DOI: https://doi.org/10.1007/BF01047410