000004720 001__ 4720 000004720 005__ 20141119144547.0 000004720 04107 $$aeng 000004720 046__ $$k2002-06-02 000004720 100__ $$aBridge, Jacqueline 000004720 24500 $$aDYNAMICS OF A STRETCHED STRING WITH A MOVING END 000004720 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference 000004720 260__ $$bColumbia University in the City of New York 000004720 506__ $$arestricted 000004720 520__ $$2eng$$aThe response of a string with an axially oscillating end support was investigated analytically. The assumed modes method was used to convert the original continuous system into a series of Hill’s equations. First order approximate solutions were obtained using the method of averaging. The impact of the natural frequencies of vibration of the unperturbed system being commensurate was also examined. The transition curves, separating regions of stability and instability, were determined for even and odd combination resonances of the frequency of the axially oscillating end. The influence of the amplitude and frequency of the oscillation of the moving support was discussed. 000004720 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000004720 653__ $$aParametric excitation, Mathieu’s equation, transition curves, eigenmodes. 000004720 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002 000004720 720__ $$aBridge, Jacqueline 000004720 8560_ $$ffischerc@itam.cas.cz 000004720 8564_ $$s226589$$uhttps://invenio.itam.cas.cz/record/4720/files/227.pdf$$yOriginal version of the author's contribution as presented on CD, . 000004720 962__ $$r4594 000004720 980__ $$aPAPER