Design Optimization of Foundation for Rotating Machinery Against Standing-Wave Vibration in a Building

Abstract eng:
This paper deals with the problem of optimum design of a foundation for rotating machinery on a storey of a building with a view to minimize the level of standing-wave vibration in the building. The foundation is usually designed as a base plate for the machinery, with some resilient mounts fixed to the bottom of the base plate and supported by the floor of the storey in order to provide a suitable level of vibration isolation of the building. Due to variable service speeds and the existence of non-balanced masses, the rotating machinery may be considered a source that within a given range of excitation frequencies excites forced vibration of the foundation, and thereby the floors and walls, etc., of the building. The transmission of such vibrations through the building may result in undesirable sound emission and unsatisfactory comfort conditions for the people in dwellings and offices of the building. To remedy this, the objective of this work is to develop and implement a method of design optimization to determine optimum stiffness values of resilient mounts subject to constraints on availability of physical properties of material to be used. The design objective is chosen as minimization of the power transmitted from the machine to the floor of the building where the foundation for the rotating machinery is mounted. At the current stage of our project, this problem is only carried out for a given, quite simplified model of a building. However, for this building model, the design and performance of the optimized machinery foundation will be illustrated and discussed using several numerical examples. In the next stage of our work, a multi-material, parameterized building model will be developed with detailed dimensions and connections of components, and the current problem will be extended to encompass simultaneous design optimization of both the building and the foundation for the rotating machinery in order to minimize the level of standing-wave vibration in the building.

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