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Vibration reduction against modulated excitation using multichannel NLMS algorithm for a structure with three active paths between plates

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Abstract

Electric and hybrid vehicle engines produce a complex spectrum of vibration and noise. Various active mounting techniques have been developed to isolate them. These are designed to continuously control the dynamic characteristics of the mounts and improve the noise, vibration, and harshness (NVH) performance under various operating conditions. Active mounts have attracted attention as replacement for existing mounts by simultaneously realizing static and dynamic stiffness, which is important for supporting an engine. Therefore, this study focuses on the vibration isolation performance of the upper plate and lower plate when the structure, including the active mounting system, is applied to multifrequency excitation. The overall modeling is based on the lumped parameter model, and the input signal is applied to the amplitude modulated and frequency modulated signals. The adaptive filter is applied for control, and the normalization least mean square (NLMS) algorithm, which is commonly used in research, is extended to a multi-NLMS algorithm. It is shown that when multifrequency input is applied, the adaptive filter is effectively applied to the active mounting system to control vibration.

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Abbreviations

m s :

Mass of the upper plate

m r :

Mass of the lower plate

m st :

Mass of the actuator

I s,y :

y-direction inertia about upper plate

I r,y :

y-direction inertia about lower plate

I s,x :

x-direction inertia about upper plate

I r,x :

x-direction inertia about lower plate

ε s :

Displacement of the upper plate

ε r :

Displacement of the lower plate

ε st i :

Displacement of each actuator

ξ sti, g1 :

Displacement of the upper plate at each actuator part

ξ sti, g2 :

Displacement of the lower plate at each actuator part

θ s :

Rotational displacement of the upper plate

θ r :

Rotational displacement of the lower plate

θ sf :

Rotational displacement of the upper plate about flank

θ rf :

Rotational displacement of the lower plate about flank

w z :

Excitation force

f st i :

Actuator force

μ :

Step size (mu)

a sti, g1 :

Output signal at each actuator path in the upper plate

a sti, g2 :

Output signal at each actuator path in the lower plate

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Acknowledgments

This study was supported by the National Research Foundation of Korea (NRF) grant funded by the government of Korea (Ministry of Science, ICT & Future Planning) (No. 2019R1F1A1061172) as well as by the 2017 Yeungnam University Research Grant (217A380020).

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Authors and Affiliations

  1. School of Mechanical Engineering, Yeungnam University, 280, Daehak-ro, Gyeongsan-si, Gyeongsangbuk-do, 712-749, Korea

    Dongwoo Hong & Byeongil Kim

Authors
  1. Dongwoo Hong
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  2. Byeongil Kim
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Correspondence to Byeongil Kim.

Additional information

Recommended by Associate Editor Junhong Park

Dongwoo Hong received his M.S. from the Department of Mechanical Engineering at the Yeungnam University. He is currently an Ph.D. course at the Yeungnam University. His research interests are smart structures, vibration control, and deep learning, especially in automotive NVH applications.

Byeongil Kim received his Ph.D. from the Department of Mechanical Engineering at the Ohio State University. He is currently an Assistant Professor at Yeungnam University. His research interests are smart structures and vibration control, especially in automotive NVH applications.

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Hong, D., Kim, B. Vibration reduction against modulated excitation using multichannel NLMS algorithm for a structure with three active paths between plates. J Mech Sci Technol 33, 4673–4680 (2019). https://doi.org/10.1007/s12206-019-0910-0

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  • DOI: https://doi.org/10.1007/s12206-019-0910-0

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