Title Nonlinear Vibrations of Piezoceramic Disk

Yıl 2020, Cilt: 22 Sayı: 64, 209 - 217, 24.01.2020

Gözde Sarı , Yasemin Nur Aydın

https://doi.org/10.21205/deufmd.2020226421

Öz

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.

Anahtar Kelimeler

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

Piezo Seramik Diskin Nonlineer Titreşimleri

Öz

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. 

Anahtar Kelimeler

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

Kaynakça

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