Abstract
Viscoelastic materials have the capability of dissipating vibrational energy which makes them very effective in the passive control of structural vibration and noise radiation. Efficient modeling-and simulation strategies for vibro-acoustic systems with these frequency-dependent damping materials are necessary. One way of doing that is to utilize the finite element (FE) method supported by a damping model that describes the frequency-dependency of the complex elastic modulus. However, in many applications, very large-scale FE models are required to obtain reliable predictions, which makes full-order system evaluation often intractable. Model order reduction (MOR), however, cannot be directly applied to models including viscoelastic materials due to the frequency-dependent property which exactly makes that the equations of motion are not of a standard second-order form as that for regular FE models. In this paper, a transformation technique based on Taylor’s theorem is introduced to treat the non-standard form of the equations of motion. After transforming the problem into a second-order system equation with an associated remainder term, an adaptive MOR procedure is applied to reduce the computational complexity of the vibro-acoustic systems. A numerical example is provided to demonstrate the simplicity and efficiency of the proposed approach.
Highlights
Over the past years, the steadily growing requirements on the vibro-acoustic performance of products as well as comfort considerations have made the interior acoustic behavior into an important criterion in many industries, for instance, automobiles, underwater vehicles, aircraft, aerospace and office partitions etc
Since obtaining better accuracy and smaller model size are the objectives in the reduction process, important open problems are how many expansion points should be selected and how large the orthonormal basis for each expansion point should be in order to build the reducedorder models (ROMs), preferably in an adaptive manner
Numerical results and discussion we present a numerical example to demonstrate the potential of the proposed Model order reduction (MOR) strategy for dimension reduction of a large-scale vibro-acoustic system with viscoelastic materials
Summary
The steadily growing requirements on the vibro-acoustic performance of products as well as comfort considerations have made the interior acoustic behavior into an important criterion in many industries, for instance, automobiles, underwater vehicles, aircraft, aerospace and office partitions etc. In this framework, the vibro-acoustic coupling phenomenon is significant and will become even more important in the course of the decades with the increasing of restrictive legal regulations regarding noise emission levels. This makes the FD model an interesting option to formulate the mathematical model of the damping
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