Free vibrations of a stepped beam with two uniform and/or tapered parts

• Autorzy: El-Din S. S. , Mahmoud A. A. , Nassar M. A.
• Języki publikacji: EN

Abstrakty

EN

Closed form solutions for free vibrations of a stepped beam of two parts are given. Each part is of rectangular cross-sectional area. The parts may be of uniform cross-section and/or tapered with both equal and different tapered ratio in the horizontal and vertical planes. General constraints at the ends are possible at the three ends of the beam. The equations of motion of the beam are given in terms of trigonometric functions, hyperbolic functions, and the well known Bessel functions. Various special cases are deduced from the present solution and showed complete agreement with previous closed form solutions for these special cases.

Słowa kluczowe

EN

free vibrations; beams; vibrations; tapered beams; stepped beams

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2000
• Tom: Vol. 4, nr 2
• Strony: 165--181
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

El-Din S. S.

• Eng. Math. & Physics Dept. Fac. Of Eng. Cairo Univ., Giza, Egypt

autor

Mahmoud A. A.

• Eng. Math. & Physics Dept. Fac. Of Eng. Cairo Univ., Giza, Egypt

autor

Nassar M. A.

• Eng. Math. & Physics Dept. Fac. Of Eng. Cairo Univ., Giza, Egypt