Elastic beam structure PVDF modal sensor generation method

Abstract

The invention provides an elastic beam structure PVDF modal sensor generation method. The method comprises the following steps of: inputting a model parameter, generating a modal sensor charge equation, generating the modal sensor charging equation into a matrix form through inputting a flexibility coefficient, a shape function and an integral matrix of a modal sensor, calculating a shape coefficient of the modal sensor and calculating a vibration mode function by using a smooth Fourier expansion method so as to generate an effective electrode shape of the modal sensor; describing Lagrangian equations of total potential energy and total kinetic energy of an elastic beam structure, solving an extreme value of an unknown coefficient by utilizing Rayleigh-Ritz, generating K and M matrixes, generating a free vibration matrix equation of the elastic beam structure, calculating a feature vector of a feature value so as to generator an unknown coefficient vector, and generating a vibration mode function secondary derivative. According to the method, PVDF modal sensor design under classical boundary conditions and any constraint conditions can be realized through adjusting rigidity valuesof boundary springs, so that the method has the advantages of being strong in universality, high in calculation precision and high in convergence speed.

Description

technical field [0001] The invention relates to a continuous distributed PVDF modal sensor generation method, in particular to a continuous distributed PVDF modal sensor generation method applied in the field of active control of elastic beam structure vibration. Background technique [0002] As a basic structural unit, the elastic beam structure is widely used in bridges, aerospace, construction engineering, automobiles, ships and ocean engineering and other fields. Under the action of changing external loads, the beam structure will vibrate violently, especially when it reaches resonance, which will lead to structural fatigue damage and even affect normal work. For the vast majority, external excitation will produce broadband vibration, and the traditional passive control is not effective in low frequency band control. Therefore, active vibration control of elastic structures has attracted extensive research. [0003] The active control system is mainly composed of error...

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Problems solved by technology

This kind of layout strategy of discrete distributed error sensors and drivers has optimization problems such as the number of use, size, and layout position.

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