## Abstract

If the structure is moving then it is possible to reduce the dynamic problem to a static one by applying D'Alembert's principle of dynamic equilibrium in which an inertia force equal to the product of the mass and the acceleration is assumed to act on the structure in the direction of negative acceleration. For free vibration, the the system is vibrating in a normal mode, and it is possible to transform equilibrium equation into a standard eigenvalue problem. Various schemes have been developed for solving eigenvalue equations such as the one by Bishop et al. [2]. In this paper the finite strip method is used in the analysis of natural frequencies and the mode shapes of rectangular bending bridge plates.The point of our analysis was to calculate the lowest natural frequencies of different types of ribbed reinforced plates, so that we could compare them and determine which one of them is optimal. Optimal means that the plate has the lowest natural frequency for the given lenght.

Key words: finite strip method, free vibrations, bridge plates.

Key words: finite strip method, free vibrations, bridge plates.

Original language | English |
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Pages (from-to) | 97-106 |

Journal | Facta Universitatis: Mechanics, Automatic Control and Robotics |

Volume | 6 |

Issue number | 1 |

Publication status | Published - 2007 |

Externally published | Yes |