Title Nonlinear Vibrations of Piezoceramic Disk

Abstract

Nonlinear vibration analysis of piezo disc which is forced directly by piezo electrical effect is studied. Piezoceramic disc consists of brass disc and piezo layer. The piezoceramic disk is attached to the ground by an elastic foundation. The effect of nonlinearity occurs with the effect of elastic foundation. In this article, the equation of motion with cubic nonlinearity is proposed for the nonlinear vibrations of the piezoceramic disc. In order to obtain the phase modulation and frequency response functions of the cubic nonlinear equation, multi-scales method is applied in the equation. The analytically derived frequency response curve is confirmed by experimental data of the harmonic forced disk with piezoelectric effect. The experimentally obtained frequency response curves of the piezoceramic disk forced by the piezoelectric effect are obtained directly in the first mode. The results are as follows; It is found that as the amplitude of the force increased, minor decreases in nonlinear resonance frequency are observed. It is observed that nonlinear behavior is of softening type. It is observed that the experimental model is compatible with the experimental results.

Keywords

• piezoceramic disk,nonlinear vibration,experimental analysis,multiple scales method

Piezo Seramik Diskin Nonlineer Titreşimleri

Abstract

Piezo elektriksel etki ile direkt olarak zorlanan piezo diskin nonlineer titreşim analizi çalışılmıştır. Piezoseramik disk; pirinç disk ve piezo tabakadan oluşmaktadır. Piezoseramik disk elastik yatak ile yere bağlanmıştır. Nonlineerlik etkisi elastik yatak etkisi ile  ortaya çıkmaktadır.  Bu makalede piezoseramik diskin nonlineer titreşimleri için kübik nonlineeriteye sahip hareket denklemi önerilmiştir. Kübik nonlineer denklemin faz modülasyon ve frekans cevap fonksiyonlarını elde etmek için denklemde çok ölçekli metot uygulanmıştır. Analitik olarak türetilen frekans cevap eğrisi, piezo elektriksel etki ile harmonik olarak zorlanan diskin deneysel verileriyle doğrulanmıştır. Piezoelektriksel etki ile zorlanan piezoseramik diskin deneysel olarak elde edilen frekans cevap eğrileri; direkt olarak birinci modda elde edilmiştir.  Sonuçlar şöyledir; zorlama genliği arttıkça nonlineer rezonans frekansında minör azalmalar olduğu tespit edilmiştir. Nonlineer davranışın yumuşatıcı tipte olduğu gözlenmiştir. Deneysel sonuçlarla teorik modelin uyumlu olduğu gözlemlenmektedir. 

Keywords

• piezoseramik disk,nonlineer titreşim,deneysel analiz,çok ölçekli metot

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