Optimization of Cam-Follower Systems With Kinematic and Dynamic Constraints

1982 ◽  
Vol 104 (1) ◽  
pp. 29-33 ◽  
Author(s):  
N. Berzak
Keyword(s):  
Optimum Design ◽  
Dynamic Properties ◽  
Performance Criteria ◽  
Numerical Examples ◽  
Dynamic Constraints ◽  
Cam Follower ◽  
Independent Parameters ◽  
General Method

A general method for obtaining the optimum design of a cam-follower system is presented. This method, developed for polynomial output motions which satisfy prescribed terminal conditions, includes performance criteria related to kinematic, as well as dynamic properties of the system. The output motion and the performance coefficients are expressed as functions of independent parameters. Using a linear sum of the weighted performance coefficients, the optimum design is obtained by scanning a suitable family of polynomial output motions. The theory is illustrated by numerical examples for four-term polynomial output motions.

A New Synthesis Method for Cam-Follower Systems Using Finite Series

1988 ◽  
Author(s):  
N. Berzak
Keyword(s):  
Trigonometric Series ◽  
Dynamic Properties ◽  
Synthesis Method ◽  
Finite Series ◽  
New Synthesis ◽  
Cam Follower ◽  
General Method

Abstract A general method for design cam-follower systems with desired kinematic and dynamic properties is presented. In this method, an output motion is defined as a sum of two series and satisfies prescribed terminal conditions as well as constraints directly related to the characteristics of the system. Approximation of such characteristics was based on certain properties of the series. The method is suitable for polynomials as well as finite trigonometric series or a combination of both. The application of this method is demonstrated for output motion expressed by polynomials.

Shape Optimization of Elastic Hollow Bars

1985 ◽  
Vol 107 (1) ◽  
pp. 100-105 ◽  
Author(s):  
J. W. Hou ◽  
J. L. Chen
Keyword(s):  
Shape Optimization ◽  
Optimum Design ◽  
Material Property ◽  
Torsional Rigidity ◽  
Bending Stiffness ◽  
Performance Criteria ◽  
Cross Sectional ◽  
Material Derivative ◽  
Numerical Examples ◽  
Design Scheme

In this paper a unified shape optimum design scheme, combining the material derivative and boundary parametrization is presented to find the optimal cross-sectional shapes of elastic hollow bars. Performance criteria can be the bending stiffness, the torsional rigidity, or the weight of the bar. The existence of a keyway (an example of geometric irregularity) can be considered as well. Material property can be either isotropic or anisotropic. Various numerical examples have been provided to show the validity of the presented approach.

A Study on Optimum Design Using Fuzzy Numbers As Design Variables

1995 ◽  
Author(s):  
Masao Arakawa ◽  
Hiroshi Yamakawa
Keyword(s):  
Fuzzy Sets ◽  
Optimum Design ◽  
Fuzzy Numbers ◽  
Fuzzy Optimization ◽  
Design Parameters ◽  
Numerical Examples ◽  
Design Variables ◽  
Conventional Methods

Abstract In this study, we summerize the method of fuzzy optimization using fuzzy numbers as design variables. In order to detect flaw in fuzzy calculation, we use LR-fuzzy numbers, which is known as its simplicity in calculation. We also use simple fuzzy numbers’ operations, which was proposed in the previous papers. The proposed method has unique characteristics that we can obtain fuzzy sets in design variables (results of the design) directly from single numerical optimizing process. Which takes a large number of numerical optimizing processes when we try to obtain similar results in the conventional methods. In the numerical examples, we compare the proposed method with several other methods taking imprecision in design parameters into account, and demonstrate the effectiveness of the proposed method.

Shape Optimum Design of Robotic Manipulators With Static Performance Criteria

1987 ◽  
Author(s):  
D. A. Saravanos ◽  
J. S. Lamancusa ◽  
H. J. Sommer
Keyword(s):  
Finite Element ◽  
Optimum Design ◽  
Robotic Manipulators ◽  
Performance Criterion ◽  
Performance Criteria ◽  
Robotic Arm ◽  
Mass Ratio ◽  
End Effector ◽  
Vibrational Response ◽  
Static Performance

Abstract The end effector deflections of robotic manipulators may be minimized by optimizing the geometric shape and the dimensions of their links. A multiple posture static performance criterion for the prediction of the shape optimum design is presented. An efficient optimization algorithm is developed for the solution of the problem using finite element modeling to predict the compliance of the robotic arm. The method is applied to an existing robotic arm, and the results demonstrate that simple alterations to the dimensions and the shape of the links can greatly improve, not only the stiffness, but also the stiffness/mass ratio and consequently the vibrational response of the manipulator structure.

Optimum Design of Roll Ring

2010 ◽  
Vol 97-101 ◽  
pp. 3509-3513
Author(s):  
Li Sun ◽  
Shao Qing Huang
Keyword(s):  
Contact Resistance ◽  
Optimum Design ◽  
Design Theory ◽  
Dynamic Properties ◽  
Electric Signal ◽  
Design And Manufacture ◽  
Test Table

Roll ring is a key component of test table that can transmit electric signal and arousal power. In order to meet the needs of better transmission and at the same time cutting cost and dimension. Optimum design theory is applied to design and manufacture channeling typed roll ring. Experiment is carried out to contact resistance and fluctuating resistance. The result shows that the optimum roll ring indeed has better static and dynamic properties than slide ring.

A Preliminary Analysis of Ski Release Binding Dynamic Properties

1976 ◽  
Vol 98 (3) ◽  
pp. 301-308 ◽  
Author(s):  
C. D. Mote ◽  
M. L. Hull
Keyword(s):  
Dynamic Properties ◽  
Piecewise Linear ◽  
Dynamic Performance ◽  
Performance Criteria ◽  
Loading Path ◽  
Practical Application ◽  
Binding Properties ◽  
Binding Function ◽  
Elementary Analysis ◽  
Two Degree Of Freedom

A piecewise, linear, two degree of freedom, ski release binding dynamic system model is presented for an elementary analysis of binding performance. Dynamic performance criteria and techniques for quantitative evaluation of ski release binding properties are discussed. Desirable binding properties along the loading path, where the ski and boot are separating, and desirable binding properties along the return path where the boot is returning to the ski centerline are discussed separately. General characteristics of the loading and return paths have practical application for binding function.

A Study on Heredity and Evolution of Designs Considering Kansei by Using Genetic Algorithms

1995 ◽  
Author(s):  
Hiroshi Yamakawa ◽  
Masao Arakawa ◽  
Nobuyuki Katsuyama
Keyword(s):  
Genetic Algorithms ◽  
Optimum Design ◽  
Design Process ◽  
Design Method ◽  
Semantic Differential ◽  
Front View ◽  
Numerical Examples ◽  
Interface System ◽  
Original Feature

Abstract A new concept on the heredity and evolution of designs was proposed and an optimum design method based on the concept was developed newly by one of the authors. Several kinds of needs for designs may exist and users of some products are not satisfied with the functions of the products but also with their sensuous beauties or impressions of shapes and materials. To consider such sensous quality of the products was called “Kansei designs” in Japan and have become of interest and important lately (Nagamachi, 1989). In this study we introduce the same concept on heredity and evolution of designs as in the previous reports shown in Fig.1 (Yamakawa, 1994) and present a general design method to consider the Kansei design into ordinary, design process by making use of both SD (Semantic Differential) and the Genetic Algorithms. In order to support designer’s impressions, we also consider to take for other features Kansei estimation, which is similar to the original feature and easier to take “Kansei”, into account and developed an interface system which can show the transition of feature during GA process. Front view designs of a car are taken as simple numerical examples and the effectiveness of the proposed method is examined.

Designing Dynamically Compensated and Robust Cam Profiles With Bernstein-Bézier Harmonic Curves

1997 ◽  
Author(s):  
Lakshmi N. Srinivasan ◽  
Q. Jeffrey Ge
Keyword(s):  
High Speed ◽  
Design Procedure ◽  
Vibration Characteristics ◽  
Resonant Vibrations ◽  
Residual Vibration ◽  
Numerical Examples ◽  
Polynomial Curves ◽  
Harmonic Content ◽  
Cam Follower ◽  
Design Speed

Abstract This paper deals with the problem of designing dynamically compensated cam profiles to minimize residual vibrations in high-speed cam-follower systems. The traditional Polydyne method is modified and extended to achieve significant improvement in residual vibration characteristics. First, cam displacement curves are represented by Bernstein-Bézier harmonic curves as opposed to polynomial curves. These recently developed harmonic curves are low in harmonic content and therefore the resulting cam profiles are less prone to induce resonant vibrations in the follower system. Second, the design procedure is expanded such that the residual vibrations of the resulting cam-follower system is not only extinguished at the design speed but also made insensitive to speed variations. Numerical examples are given in the end.

Magnetohydrodynamical leaky waves in a layered plasma

1998 ◽  
Vol 59 (1) ◽  
pp. 125-149
Author(s):  
ALEJANDRO G. GONZÁLEZ ◽  
JULIO GRATTON ◽  
SILVIA B. FARINA
Keyword(s):  
Closed Form ◽  
Complex Frequency ◽  
Slab Model ◽  
Leaky Waves ◽  
Numerical Examples ◽  
Physical Mechanisms ◽  
General Method

We investigate the existence of MHD leaky waves in compressible and layered plasmas. We consider perturbations of complex frequency in a slab model with three layers. We develop a general method that includes the ‘cubic modes’ as well as other kinds of leaky waves, and allows us to derive many results in closed form. There are several physical mechanisms that can produce leakage. We give two numerical examples to exhibit the different behaviours that can arise. Finally we comment on the connection of the present results with those obtained by other authors, and correct some errors.

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