Modeling and topology optimization of cylindrical shells with partial CLD treatment

Zhu, Runze; Zhang, Xuening; Zhang, Shengguang; Dai, Qiyi; Qin, Zhaoye; Chu, Fulei

doi:10.1016/j.ijmecsci.2022.107145

Cited by 42 publications

(5 citation statements)

References 65 publications

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“…As in the present work, Sigmund [24] used the topology optimization approach with the SIMP method-Solid Isotropic Material with Penalization. Open structural topology optimization programs were developed using other approaches such as: ESO-structural evolutionary optimization and BESO -bidirectional evolutionary structural optimization methods [7,[25][26][27][28][29][30][31], LSM-Level Set Method [32][33][34], TOBS-topology optimization of binary structures [8], MMC method-moving morphable components [35,36], among others. Table 1 presents a survey with open-source examples on structural topology optimization, describing the name of the code and authors, the programming language used, and the optimization method used.…”

Section: Open Programs On Stomentioning

confidence: 99%

A Simple and Efficient Structural Topology Optimization Implementation Using Open-Source Software for All Steps of the Algorithm: Modeling, Sensitivity Analysis and Optimization

Ferro¹,

Pavanello²

2023

Computer Modeling in Engineering &Amp; Sciences

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This work analyzes the implementation of a continuous method of structural topology optimization (STO) using open-source software for all stages of the topology optimization problem: modeling, sensitivity analysis and optimization. Its implementation involves three main components: numerical analysis using the Finite Element Method (FEM), sensitivity analysis using an Adjoint method and an optimization solver. In order to allow the automated numerical solution of Partial Differential Equations (PDEs) and perform a sensitivity analysis, FEniCS and Dolfin Adjoint software are used as tools, which are open-source code. For the optimization process, Ipopt (Interior Point OPTimizer) is used, which is a software package for nonlinear optimization scale designed to find (local) solutions of mathematical optimization problems. The topological optimization method used is based on the SIMP-Solid Isotropic Material with Penalization interpolation. The considered problem is the minimization of compliance/maximization of stiffness, considering the examples of recurrent structures in the literature in 2D and 3D. A density filtering algorithm based on Helmholtz formulation is used. The complete code involves 51 lines of programming and is presented and commented in detail in this article.

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Section: Open Programs On Stomentioning

confidence: 99%

A Simple and Efficient Structural Topology Optimization Implementation Using Open-Source Software for All Steps of the Algorithm: Modeling, Sensitivity Analysis and Optimization

Ferro¹,

Pavanello²

2023

Computer Modeling in Engineering &Amp; Sciences

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“…(1) It is assumed that the blade tenon root never separates from the wheel disc during operation (2) It is assumed that the positive pressure on the contact surface between the tenon root and the wheel disc remains constant throughout the vibration of the blade (3) It is assumed that the contact angle of the tenon root remains constant during the vibration of the blade and that the blade only moves horizontally Using artifcial springs to simulate the boundary conditions of the model is a common method to deal with boundary problems [34,35]. Under the abovementioned assumptions, the dry friction model is established as shown in Figure 2.…”

Section: Dry Friction Model and Pressure Ratio Modelmentioning

confidence: 99%

Influence of Fir-Tree Tenon Blade Parameters on Blade Dynamic Characteristics

Yang

2023

Shock and Vibration

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In this paper, based on the theory of elastic structure analysis, considering the rotational softening and centrifugal stiffening of the blade, the dynamic model of the fir-tree rotating blade and the macroslip hysteresis model of the dry friction on the contact surface of fir-tree tenon are established. Based on elastic mechanics, the pressure distribution model of fir-tree tenon is innovatively established and the relationship between fit clearance and contact pressure has been derived. After the blade is discretized by the finite element method, the dynamic equation of the blade is solved iteratively by the Newmark-β numerical integration method. According to the dynamic equation of the blade, the influence of the change of the tenon angle on the forced response and contact stress of the blade is derived. Finally, some novel conclusions are obtained by analyzing the influence of pressure distribution, tenon angle, friction coefficient, rotational speed, and aerodynamic excitation on blade vibration characteristics. It provides a scheme and relevant basis for the design and development of tenon blades with the most damping effect at different speeds in industrial practice.

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“…The negative impact of vibrations should be emphatically considered in the design of such products. System structure vibration has become a hot issue in today’s society [ 1 , 2 ]. The commonly used control methods are divided into three main categories: passive control, active control, and integrated active and passive control [ 3 , 4 , 5 ].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Modeling and Vibration Control of Plates with Active Constrained Layer Damping Treatment

et al. 2023

Self Cite

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An enhanced lightness and thinness is the inevitable trend of modern industrial production, which will also lead to prominent low-frequency vibration problems in the associated structure. To solve the vibration problem of thin plate structures in various engineering fields, the active constrained layer damping (ACLD) thin plate structure is taken as the research object to study vibration control. Based on the FEM method, energy method, and Hamilton principle, the dynamic model of an ACLD thin plate structure is derived, in which the Golla–Hughes–McTavish (GHM) model is used to characterize the damping characteristics of the viscoelastic layer, and the equivalent Rayleigh damping is used to characterize the damping characteristics of the base layer. The order of the model is reduced based on the high-precision physical condensation method and balance reduction method, and the model has good controllability and observability. An LQR controller is designed to actively control the ACLD sheet, and the controller parameters and piezoelectric sheet parameters are optimized. The results show that the finite element model established in this paper is accurate under different boundary conditions, and the model can still accurately and reliably describe the dynamic characteristics of the original system in the time and frequency domain after using the joint reduction method. Under different excitation and boundary conditions, LQR control can effectively suppress structural vibration. Considering the performance and cost balance, the most suitable control parameter for the system is: Q-matrix coefficient is between 1 × 104 and 1 × 105, the R-matrix coefficient is between 1 and 10, and the thickness of the piezoelectric plate is 0.5 mm.

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Modeling and topology optimization of cylindrical shells with partial CLD treatment

Cited by 42 publications

References 65 publications

A Simple and Efficient Structural Topology Optimization Implementation Using Open-Source Software for All Steps of the Algorithm: Modeling, Sensitivity Analysis and Optimization

A Simple and Efficient Structural Topology Optimization Implementation Using Open-Source Software for All Steps of the Algorithm: Modeling, Sensitivity Analysis and Optimization

Influence of Fir-Tree Tenon Blade Parameters on Blade Dynamic Characteristics

Finite Element Modeling and Vibration Control of Plates with Active Constrained Layer Damping Treatment

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