Optimal Design of Resonance Suppression Helical Springs

1993 ◽  
Vol 115 (3) ◽  
pp. 380-384 ◽  
Author(s):  
Yuyi Lin ◽  
P. H. Hodges ◽  
A. P. Pisano
Keyword(s):  
Optimal Design ◽  
Dynamic Model ◽  
Design Tool ◽  
Helical Springs ◽  
Design Variables ◽  
Spring Wire ◽  
Spring Force ◽  
Computer Based ◽  
Harmonic Power

Based on a previously developed and verified helical spring dynamic model, optimization and FFT subroutines have been added to the spring dynamic model as controlling and postprocessing units to form a computer-based optimal design tool. The objective function minimized is the amplitude of spring resonance. Design variables are the coefficients of a polynomial which describes the variation of the diameter of the spring wire along the spring helix. Constraints are the maximum fatigue stress at any location of the spring wire, the minimum and maximum wire diameter, and the maximum required spring force. In a case study for an automobile engine valve spring, resonant harmonic power has been reduced by 47 percent, given the newly designed spring a potential to be used at 8.3 percent higher engine speed before potential valve toss occurs.

Optimal Design of Resonance Suppression Helical Springs

1991 ◽  
Author(s):  
Yuji Lin ◽  
P. H. Hodges ◽  
A. P. Pisano
Keyword(s):  
Optimal Design ◽  
Dynamic Model ◽  
Design Tool ◽  
Helical Springs ◽  
Design Variables ◽  
Spring Wire ◽  
Spring Force ◽  
Computer Based ◽  
Harmonic Power

Abstract Based on a previously developed and verified helical spring dynamic model, optimization and FFT routines have been added to the spring dynamic model as controlling and postprocessing units to form a computer-based optimal design tool. The objective function minimized is the amplitude of spring resonance. Design variables are the coefficients of a polynomial which describes the variation of the diameter of spring wire along the spring helix. Constraints are the maximum fatigue stress on any location of spring wire, the minimum and maximum wire diameter, and the maximum required spring force. In a case study for an automobile engine valve spring, resonant harmonic power has been reduced by 47%, given the newly designed spring a potential to be used at 8.3% higher engine speed before potential valve toss occurs.

Vehicle Handling Dynamics Optimization Based in Passive Suspension Settings in Target Cascading Framework

2014 ◽  
Author(s):  
Juan C. Blanco ◽  
Luis E. Muñoz
Keyword(s):  
Optimal Design ◽  
Optimization Problem ◽  
Suspension System ◽  
Dynamics Simulation ◽  
Design Stage ◽  
Partial Geometry ◽  
Embodiment Design ◽  
Design Variables ◽  
Target Cascading

The vehicle optimal design is a multi-objective multi-domain optimization problem. Each design aspect must be analyzed by taking into account the interactions present with other design aspects. Given the size and complexity of the problem, the application of global optimization methodologies is not suitable; hierarchical problem decomposition is beneficial for the problem analysis. This paper studies the handling dynamics optimization problem as a sub-problem of the vehicle optimal design. This sub-problem is an important part of the overall vehicle design decomposition. It is proposed that the embodiment design stage can be performed in an optimal viewpoint with the application of the analytical target cascading (ATC) optimization strategy. It is also proposed that the design variables should have sufficient physical significance, but also give the overall design enough design degrees of freedom. In this way, other optimization sub-problems can be managed with a reduced variable redundancy and sub-problem couplings. Given that the ATC strategy is an objective-driven methodology, it is proposed that the objectives of the handling dynamics, which is a sub-problem in the general ATC problem, can be defined from a Pareto optimal set at a higher optimization level. This optimal generation of objectives would lead to an optimal solution as seen at the upper-level hierarchy. The use of a lumped mass handling dynamics model is proposed in order to manage an efficient optimization process based in handling dynamics simulations. This model contains detailed information of the tire properties modeled by the Pacejka tire model, as well as linear characteristics of the suspension system. The performance of this model is verified with a complete multi-body simulation program such as ADAMS/car. The handling optimization problem is presented including the proposed design variables, the handling dynamics simulation model and a case study in which a double wishbone suspension system of an off-road vehicle is analyzed. In the case study, the handling optimization problem is solved by taking into account couplings with the suspension kinematics optimization problem. The solution of this coupled problem leads to the partial geometry definition of the suspension system mechanism.

scholarly journals Numerical Assessment of a One-Mass Spring-Based Electromagnetic Energy Harvester on a Vibrating Object

2016 ◽  
Vol 41 (1) ◽  
pp. 119-131 ◽  
Author(s):  
Min-Chie Chiu ◽  
Ying-Chun Chang ◽  
Long-Jyi Yeh ◽  
Chiu-Hung Chung
Keyword(s):  
Optimal Design ◽  
Energy Harvester ◽  
Damping Ratio ◽  
Electrical Power ◽  
Electromagnetic Energy ◽  
Design Parameters ◽  
Helical Springs ◽  
Spring Wire ◽  
Excitation Period ◽  
Mass Spring

Abstract The paper is an exploration of the optimal design parameters of a space-constrained electromagnetic vibration-based generator. An electromagnetic energy harvester is composed of a coiled polyoxymethylen circular shell, a cylindrical NdFeB magnet, and a pair of helical springs. The magnet is vertically confined between the helical springs that serve as a vibrator. The electrical power connected to the coil is actuated when the energy harvester is vibrated by an external force causing the vibrator to periodically move through the coil. The primary factors of the electrical power generated from the energy harvester include a magnet, a spring, a coil, an excited frequency, an excited amplitude, and a design space. In order to obtain maximal electrical power during the excitation period, it is necessary to set the system’s natural frequency equal to the external forcing frequency. There are ten design factors of the energy harvester including the magnet diameter (Dm), the magnet height (Hm), the system damping ratio (ζsys), the spring diameter (Ds), the diameter of the spring wire (ds), the spring length (ℓs), the pitch of the spring (ps), the spring’s number of revolutions (Ns), the coil diameter (Dc), the diameter of the coil wire (dc), and the coil’s number of revolutions (Nc). Because of the mutual effects of the above factors, searching for the appropriate design parameters within a constrained space is complicated. Concerning their geometric allocation, the above ten design parameters are reduced to four (Dm, Hm, ζsys, and Nc). In order to search for optimal electrical power, the objective function of the electrical power is maximized by adjusting the four design parameters (Dm, Hm, ζsys, and Nc) via the simulated annealing method. Consequently, the optimal design parameters of Dm, Hm, ζsys, and Nc that produce maximum electrical power for an electromagnetic energy harvester are found.

Optimal Design of Product Family Throughout Commonalization, Customization and Lineup Arrangement

2008 ◽  
Author(s):  
Kikuo Fujita ◽  
Ryota Akai
Keyword(s):  
Optimal Design ◽  
Design Problem ◽  
Product Family ◽  
Feasible Region ◽  
Product Family Design ◽  
Active Set ◽  
Active Set Strategy ◽  
Design Variables ◽  
Design Paradigm

Product family design is a framework for effectively and efficiently meeting with spread customers’ needs by sharing components or modules across a series of products. This paper systematizes product family design toward its extension to throughout consideration of commonalization, customization and lineup arrangement under the optimal design paradigm. That is, commonalization is viewed as the operation that restricts the feasible region by fixing a set of design variables related to commonalized components or modules against later customization and final lineup offered to customers. Customization is viewed as the operation that arranges lineup by adjusting another set of design variables related to reserved freedom for customers’ needs. Their mutual and bi-directional relationships must be a matter of optimal design. This paper discusses the mathematical fundamentals of optimal product family design throughout commonalization, customization and lineup arrangement under active set strategy, and demonstrates a case study with a design problem of centrifugal compressors for showing the meaning of throughout optimal design.

Optimal Balancing of Product Design Features: A Case Study on Mobile Phones

2002 ◽  
Vol 46 (6) ◽  
pp. 700-704 ◽  
Author(s):  
Sang W. Hong ◽  
Kwang J. Kim ◽  
Sung H. Han
Keyword(s):  
Optimal Design ◽  
Product Design ◽  
Mobile Phones ◽  
User Satisfaction ◽  
Performance Test ◽  
Systematic Method ◽  
Design Variables ◽  
Design Values ◽  
Quantitative Manner

The design process to make a product that appeals to consumers should consider their various preferences (e.g. user satisfaction dimensions) simultaneously. That is, a key problem in product design is to select a set of optimal design values that would result in a product satisfying the various user satisfaction dimensions. This is one of the optimal balancing problems. However, it is very difficult for product designers to solve this optimal balancing problem in a quantitative manner. This study suggests a systematic method for solving these problems based on the multiple response surface (MRS) methodology and demonstrates the applicability of the proposed method through a case study on mobile phones. Three different optimal design settings for a total of 31 mobile phone design variables were analyzed and validated based on an optimization performance test and similarity test.

Optimal Design of the Guide Mechanism of Vertical Ring Rolling Mill

2011 ◽  
Vol 189-193 ◽  
pp. 2553-2557
Author(s):  
Xiao Kai Wang ◽  
Lin Hua ◽  
Chun Dong Zhu
Keyword(s):  
Optimal Design ◽  
Rolling Mill ◽  
Working Condition ◽  
Virtual Prototyping ◽  
Ring Rolling ◽  
Original Structure ◽  
Design Constraints ◽  
Design Variables ◽  
Spring Force ◽  
Ring Rolling Mill

This paper firstly analyzes the features of the spring-loaded type guide mechanism of D51 series vertical ring rolling mill. Then a reliable parametric virtual prototyping model of the guide mechanism is developed in software ADAMS. In addition, the optimal design of the guide mechanism is conducted. The minimum spring force is selected as the objective function, the dimensions of the parts of the guide mechanism are set to the design variables and the working condition is taken as the design constraints. The optimal guide mechanism is obtained after optimization, compared with the original structure, the spring force is decreased by 50.5%, and the guiding force is also decreased to a reasonable value. The research results can help to design the guide mechanism of the D51 series vertical ring rolling mill.

Teaching Computer Based Historical Data Analysis

1994 ◽  
Vol 6 (1) ◽  
pp. 52-58 ◽  
Author(s):  
Charles Anderson ◽  
Robert J. Morris
Keyword(s):  
Data Analysis ◽  
Social History ◽  
Historical Data ◽  
Good Practice ◽  
Computer Assisted ◽  
Historical Data Analysis ◽  
University Of Edinburgh ◽  
Computer Based ◽  
The University

A case study ofa third year course in the Department of Economic and Social History in the University of Edinburgh isusedto considerandhighlightaspects of good practice in the teaching of computer-assisted historical data analysis.

Optimal Design of Two-Sided Market Platforms: An Empirical Case Study of Ebay

2013 ◽  
Author(s):  
Aaron Bodoh-Creed ◽  
JJrn Boehnke ◽  
Brent Richard Hickman
Keyword(s):  
Optimal Design

scholarly journals Hybrid Seven-bar Press Mechanism

2018 ◽  
Vol 12 (3) ◽  
pp. 181-187
Author(s):  
M. Erkan Kütük ◽  
L. Canan Dülger
Keyword(s):  
Genetic Algorithm ◽  
Objective Function ◽  
Design Optimization ◽  
Hybrid System ◽  
Degrees Of Freedom ◽  
Dimensional Synthesis ◽  
Design Variables ◽  
Optimization Study ◽  
Metal Stamping

An optimization study with kinetostatic analysis is performed on hybrid seven-bar press mechanism. This study is based on previous studies performed on planar hybrid seven-bar linkage. Dimensional synthesis is performed, and optimum link lengths for the mechanism are found. Optimization study is performed by using genetic algorithm (GA). Genetic Algorithm Toolbox is used with Optimization Toolbox in MATLAB®. The design variables and the constraints are used during design optimization. The objective function is determined and eight precision points are used. A seven-bar linkage system with two degrees of freedom is chosen as an example. Metal stamping operation with a dwell is taken as the case study. Having completed optimization, the kinetostatic analysis is performed. All forces on the links and the crank torques are calculated on the hybrid system with the optimized link lengths

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