scholarly journals Topology optimization of partial constrained layer damping treatment on plate for maximizing modal loss factors

2021 ◽  
Vol 30 ◽  
pp. 263498332110348
Author(s):  
Rong Chen ◽  
Haitao Luo ◽  
Hongguang Wang ◽  
Weijia Zhou
Keyword(s):  
Topology Optimization ◽  
Objective Function ◽  
Superposition Method ◽  
Optimization Approach ◽  
Constrained Layer Damping ◽  
Modal Strain Energy ◽  
Thin Walled Structures ◽  
Damping Material ◽  
Constrained Damping ◽  
Loss Factors

Constrained layer damping treatment is widely used to suppress the vibration and noise of thin-walled structures. However, full coverage of constrained damping layer will increase unnecessary additional mass, resulting in material waste and cannot effectively improve the damping performance of the composite structure. In this article, a topology optimization approach is proposed to realize the optimal distribution of constrained damping layer. The design objective is to maximize modal loss factors solved by the modal strain energy method under the constraint of volume. Taking the relative density of the finite element of the constrained damping layer as design variable, the solid isotropic material with penalization method is used to realize the optimal topological distribution of the damping material on the surface of the metal substrate. Then the moving asymptote method is adopted as an optimizer to search the optimal layout of the constrained damping layer. Based on a modified modal superposition method, the sensitivities of the objective function with respect to the design variables are obtained. Numerical examples and experiments are presented for illustrating the validity and efficiency of this approach. The results show that the objective function converges to the optimal value smoothly, and the optimized modal loss factors have been significantly improved. The layouts of the constrained damping layer after optimization are clear and reasonable, and its distributions are affected by both the damping layer and the constraining layer. Each part of the constrained damping layer after optimizing can greatly improve the damping performance of the structure.

Topology Optimization for Constrained Layer Damping Plates Using Evolutionary Structural Optimization Method

2014 ◽  
Vol 894 ◽  
pp. 158-162 ◽  
Author(s):  
Bing Qin Wang ◽  
Bing Li Wang ◽  
Zhi Yuan Huang
Keyword(s):  
Topology Optimization ◽  
Energy Dissipation ◽  
Structural Optimization ◽  
Design Variable ◽  
Loss Factor ◽  
Optimization Approach ◽  
Constrained Layer Damping ◽  
Modal Strain Energy ◽  
Evolutionary Structural Optimization ◽  
Constrained Damping

The evolutionary structural optimization (ESO) is used to optimize constrained damping layer structure. Considering the vibration and energy dissipation mode of the plate with constrained layer damping treatment, the elements of constrained damping layers and modal loss factor are considered as design variable and objective function, while damping material consumption is considered as a constraint. The sensitivity of modal loss factor to design variable is further derived using modal strain energy analysis method. Numerical example is used to demonstrate the effectiveness of the proposed topology optimization approach. The results show that vibration energy dissipation of the plates can be enhanced by the optimal constrained layer damping layout.

scholarly journals Topology Optimization of Passive Constrained Layer Damping with Partial Coverage on Plate

2013 ◽  
Vol 20 (2) ◽  
pp. 199-211 ◽  
Author(s):  
Weiguang Zheng ◽  
Yingfeng Lei ◽  
Shande Li ◽  
Qibai Huang
Keyword(s):  
Finite Element ◽  
Topology Optimization ◽  
Objective Function ◽  
Optimization Procedure ◽  
Constrained Layer Damping ◽  
Flat Plates ◽  
Modal Strain Energy ◽  
Partial Coverage ◽  
Material Interpolation ◽  
Passive Constrained Layer Damping

The potential of using topology optimization as a tool to optimize the passive constrained layer damping (PCLD) layouts with partial coverage on flat plates is investigated. The objective function is defined as a combination of several modal loss factors solved by finite element-modal strain energy (FE-MSE) method. An interface finite element is introduced to modeling the viscoelastic core of PCLD patch to save the computational space and time in the optimization procedure. Solid isotropic material with penalization (SIMP) method is used as the material interpolation scheme and the parameters are well selected to avoid local pseudo modes. Then, the method of moving asymptote (MMA) is employed as an optimizer to search the optimal topologies of PCLD patch on plates. Applications of two flat plates with different shapes have been applied to demonstrate the validation of the proposed approach. The results show that the objective function is in a steady convergence process and the damping effect of the plates can be enhanced by the optimized PCLD layouts.

scholarly journals Topology Optimization of Hard-Coating Thin Plate for Maximizing Modal Loss Factors

Coatings ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 774
Author(s):  
Haitao Luo ◽  
Rong Chen ◽  
Siwei Guo ◽  
Jia Fu
Keyword(s):  
Topology Optimization ◽  
Objective Function ◽  
Composite Plates ◽  
Optimization Method ◽  
Hard Coating ◽  
Design Variables ◽  
Coating Composite ◽  
Damping Materials ◽  
Topology Optimization Method ◽  
Loss Factors

At present, hard coating structures are widely studied as a new passive damping method. Generally, the hard coating material is completely covered on the surface of the thin-walled structure, but the local coverage cannot only achieve better vibration reduction effect, but also save the material and processing costs. In this paper, a topology optimization method for hard coated composite plates is proposed to maximize the modal loss factors. The finite element dynamic model of hard coating composite plate is established. The topology optimization model is established with the energy ratio of hard coating layer to base layer as the objective function and the amount of damping material as the constraint condition. The sensitivity expression of the objective function to the design variables is derived, and the iteration of the design variables is realized by the Method of Moving Asymptote (MMA). Several numerical examples are provided to demonstrate that this method can obtain the optimal layout of damping materials for hard coating composite plates. The results show that the damping materials are mainly distributed in the area where the stored modal strain energy is large, which is consistent with the traditional design method. Finally, based on the numerical results, the experimental study of local hard coating composites plate is carried out. The results show that the topology optimization method can significantly reduce the frequency response amplitude while reducing the amount of damping materials, which shows the feasibility and effectiveness of the method.

scholarly journals Microstructural Topology Optimization of Constrained Layer Damping on Plates for Maximum Modal Loss Factor of Macrostructures

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Zhanpeng Fang ◽  
Lei Yao ◽  
Shuxia Tian ◽  
Junjian Hou
Keyword(s):  
Topology Optimization ◽  
Loss Factor ◽  
Strain Energy ◽  
Design Method ◽  
Optimization Method ◽  
Constrained Layer Damping ◽  
Viscoelastic Materials ◽  
Modal Strain Energy ◽  
Design Variables ◽  
Microstructural Topology Optimization

This paper presents microstructural topology optimization of viscoelastic materials for the plates with constrained layer damping (CLD) treatments. The design objective is to maximize modal loss factor of macrostructures, which is obtained by using the Modal Strain Energy (MSE) method. The microstructure of the viscoelastic damping layer is composed of 3D periodic unit cells. The effective elastic properties of the unit cell are obtained through the strain energy-based method. The density-based topology optimization is adopted to find optimal microstructures of viscoelastic materials. The design sensitivities of modal loss factor with respect to the design variables are analyzed and the design variables are updated by Method of Moving Asymptotes (MMA). Numerical examples are given to demonstrate the validity of the proposed optimization method. The effectiveness of the optimal design method is illustrated by comparing a solid and an optimized cellular viscoelastic material as applied to the plates with CLD treatments.

Topology Optimization of Carbon Nanotube Reinforced Damping Layers

Aerospace ◽  
2005 ◽  
Author(s):  
Arnold Lumsdaine ◽  
Mohan Damu
Keyword(s):  
Mechanical Properties ◽  
Carbon Nanotubes ◽  
Topology Optimization ◽  
Polymer Matrix ◽  
Vibration Damping ◽  
Constrained Layer Damping ◽  
Damping Properties ◽  
Reinforced Polymers ◽  
Damping Material ◽  
Layer Structures

Topology optimization has been successfully used for improving vibration damping in constrained layer damping structures with viscoelastic materials. Reinforcing carbon nanotubes in a polymer matrix greatly influences the mechanical properties of the polymer. Such nanotube-reinforced polymers (NRP) can be used to further enhance the damping properties of the constrained layer structures. The inclusion of nanotubes into a polymer matrix provides a new design variable in the topology optimization studies on such structures. In this work, the topology optimization of structures using such NRP as the damping material is performed. The resulting structures show a phenomenal improvement in damping. Moreover, a more efficient method is used for the optimization process.

scholarly journals Topology Optimization of Constrained Layer Damping on Plates Using Method of Moving Asymptote (MMA) Approach

2011 ◽  
Vol 18 (1-2) ◽  
pp. 221-244 ◽  
Author(s):  
Zheng Ling ◽  
Xie Ronglu ◽  
Wang Yi ◽  
Adel El-Sabbagh
Keyword(s):  
Topology Optimization ◽  
Energy Dissipation ◽  
Design Variable ◽  
Optimization Design ◽  
Damping Ratio ◽  
Design Tool ◽  
Optimization Approach ◽  
Constrained Layer Damping ◽  
Modal Damping Ratio ◽  
Modal Damping

Damping treatments have been extensively used as a powerful means to damp out structural resonant vibrations. Usually, damping materials are fully covered on the surface of plates. The drawbacks of this conventional treatment are also obvious due to an added mass and excess material consumption. Therefore, it is not always economical and effective from an optimization design view. In this paper, a topology optimization approach is presented to maximize the modal damping ratio of the plate with constrained layer damping treatment. The governing equation of motion of the plate is derived on the basis of energy approach. A finite element model to describe dynamic performances of the plate is developed and used along with an optimization algorithm in order to determine the optimal topologies of constrained layer damping layout on the plate. The damping of visco-elastic layer is modeled by the complex modulus formula. Considering the vibration and energy dissipation mode of the plate with constrained layer damping treatment, damping material density and volume factor are considered as design variable and constraint respectively. Meantime, the modal damping ratio of the plate is assigned as the objective function in the topology optimization approach. The sensitivity of modal damping ratio to design variable is further derived and Method of Moving Asymptote (MMA) is adopted to search the optimized topologies of constrained layer damping layout on the plate. Numerical examples are used to demonstrate the effectiveness of the proposed topology optimization approach. The results show that vibration energy dissipation of the plates can be enhanced by the optimal constrained layer damping layout. This optimal technology can be further extended to vibration attenuation of sandwich cylindrical shells which constitute the major building block of many critical structures such as cabins of aircrafts, hulls of submarines and bodies of rockets and missiles as an invaluable design tool.

Topology Optimization of Constrained Damping Layer Treatments

2002 ◽  
Author(s):  
Arnold Lumsdaine
Keyword(s):  
Topology Optimization ◽  
Loss Factor ◽  
Elastic Beam ◽  
Forced Response ◽  
Optimization Process ◽  
Programming Algorithm ◽  
Optimal Topology ◽  
Modal Strain Energy ◽  
Constrained Damping ◽  
Half Power

The aim of this research is to determine the optimal shape of a constrained viscoelastic damping layer on an elastic beam by means of topology optimization. The optimization objective is to maximize the system loss factor for the first resonance frequency of the base beam. All previous optimal design studies on viscoelastic lamina have been size or shape optimization studies, assuming a certain topology for the damping treatment. In this study, this assumption is relaxed, allowing an optimal topology to emerge. The loss factor is computed using the Modal Strain Energy method in the optimization process. Loss factor results are validated by using the half-power bandwidth method, which requires obtaining the forced response of the structure. The ABAQUS finite element code is used to model the structure with two-dimensional continuum elements. The optimization code uses a Sequential Quadratic Programming algorithm. Results show that significant improvements in damping performance, on the order of 100% to 300%, are obtained by optimizing the constrained damping layer topology. A novel topology for the constraining layer emerges through the optimization process.

scholarly journals Distribution Optimization of Constrained Damping Materials Covering on Typical Panels Under Random Vibration

2018 ◽  
Vol 23 (No 3, September 2018) ◽  
Author(s):  
Shuangyan Liu ◽  
Yihang Xu ◽  
Xiaopeng Shi ◽  
Qiong Deng ◽  
Yulong Li
Keyword(s):  
Equivalent Stress ◽  
Stiffened Panel ◽  
Modal Frequency ◽  
Stiffened Panels ◽  
Damping Material ◽  
Constrained Damping ◽  
Von Mises Equivalent Stress ◽  
Damping Materials ◽  
Von Mises ◽  
Loss Factors

This paper studies topology optimization of metallic and composite panels of three different configurations (flat, three-bay and 3×3 grid) covered by the constrained damping materials considering first modal loss factors. The vibration experiments seek to obtain the first modal loss factor and first modal frequency for the aforementioned panels, and corresponding finite element (FE) simulations are completed using commercial software ABAQUS R . According to simulation results, the distribution of constrained damping materials is optimized with evolutionary structural optimization (ESO) method developed using MATLAB. The results show that the first modal loss factors of optimized panels are reduced slightly if the constrained damping material is removed by 50%. Under the base excitation near each first modal frequency, the maximum root mean square of Von Mises equivalent stress (RMISES) of optimized flat panels and 3×3 grid stiffened panels decreases compared with panels without constrained damping materials. However, the maximum RMISES value of optimized three-bay stiffened panels nearly remains unchanged due to the configuration type of the stiffeners. These results conclude that the three-bay stiffened panel is the best to reduce the maximum RMISES value of at base structure with the same additional mass

scholarly journals On the Region for the Application of Passive Damping Treatment and Loss Factor Enhancement

2019 ◽  
Vol 24 (4) ◽  
pp. 693-700
Author(s):  
Thomas K. Joseph ◽  
K. Renji ◽  
Kartik Venkatraman
Keyword(s):  
Energy Distribution ◽  
Viscoelastic Material ◽  
Loss Factor ◽  
Strain Energy ◽  
Significant Loss ◽  
Efficient Design ◽  
Modal Strain Energy ◽  
Damping Material ◽  
Modes Of Vibration ◽  
Constrained Damping

The loss factor of a structure is significantly improved by using constrained damping treatment. For a mass efficient design, the damping material is to be applied at suitable locations. The studies reported in literature use the modal strain energy distribution in the viscoelastic material or the strain energy distribution in the base structure as tools to arrive at these suitable locations for the damping treatment. It is shown here that the regions identified through the above criteria need not be suitable for certain bending modes of vibration. A new approach is proposed in which the strain in the viscoelastic material and the angle of flexure are shown to be more reliable in arriving at the locations for the damping treatment. Providing damping layers at identified locations using these parameters results in significant loss factors with minimal added mass.

Experimental and Numerical Analysis of the Effect of Segmentation on Modal Loss Factor of Constrained Layer Damped Beam

2014 ◽  
Author(s):  
Pravin P. Hujare ◽  
Anil D. Sahasrabudhe ◽  
Sanket D. Chinchawade
Keyword(s):  
Finite Element ◽  
Numerical Analysis ◽  
Shear Deformation ◽  
Loss Factor ◽  
Three Dimensional ◽  
Bending Moment ◽  
Constrained Layer Damping ◽  
Three Dimensional Model ◽  
Modal Strain Energy ◽  
Damping Material

This paper presents experimental investigation on the damping effects of constrained layer treatment by cutting the constraining layer and constrained layer of viscoelastic material (VEM). The constraining layer causes shear in the damping material as the structure deforms. The shear deformation occurring in the viscoelastic core is mainly responsible for the dissipation of energy. The shear deformation in the VEM is not significant in regions where the bending moment is maximal. Mostly only extensional deformation occurs in the damping layer. The local high-shear deformation in the damping material is produced by placing a cut at the region of highest curvature. Cutting both the constraining and the constrained layer, which leads to segmentation, increases the shear deformation at that position. This appropriate position of high bending moment for segmentation is obtained by MATLAB program. The modal loss factor of constrained layer damped (CLD) beam is obtained by half-power bandwidth method using FFT analyzer. The CLD beams are prepared as per ASTM Standard E 756-05. Extensive experiments are conducted by making number of separate segmented CLD beams of different viscoelastic damping materials. A three dimensional model of cantilever CLD beam has been used for numerical analysis. In this work, finite element commercial software MSC/NASTRAN is used to simulate the dynamic response of a CLD beam. The modal loss factor of constrained layer damped (CLD) beam is measured by Modal Strain Energy (MSE) Method. This is a new method for enhancement of damping capabilities of constrained layer damping. It is found that the performance of segmented CLD beam using passive treatment shows significant improvement in modal loss factor which leads to vibration attenuation of beam. The numerical results are corroborated with experimental data obtained for segmented CLD beam. The analyzed finite element models are found to provide reliable results and compared very well with experimentally acquired data.

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