Sensitivity Analysis of the Burmester Equations of Planar Motion

1990 ◽  
Vol 112 (3) ◽  
pp. 299-306 ◽  
Author(s):  
S. V. Mahableshwarkar ◽  
S. N. Kramer
Keyword(s):  
Sensitivity Analysis ◽  
Mechanism Design ◽  
Iterative Process ◽  
Planar Motion ◽  
Numerical Examples ◽  
Additional Information

In this paper the sensitivity of the configuration of a mechanism to small variations in the precision point locations and corresponding coupler rotations is presented. The changes in the locations of the centerpoints and circlepoints, hence the dyads constituting the mechanism, due to these variations are determined by evaluating the total differentials of these quantities. The method is applied to mechanisms designed by the Burmester Theory of Planar Motion for four precision and five precision points. This additional information on sensitivity is shown to be useful in the iterative process of mechanism design. Numerical examples and an applications section are included to illustrate the formulation and show how this concept can be applied to mechanism design.

Sensitivity Analysis of the Burmester Equations of Planar Motion

1989 ◽  
Author(s):  
S. V. Mahableshwarkar ◽  
S. N. Kramer
Keyword(s):  
Sensitivity Analysis ◽  
Mechanism Design ◽  
Planar Motion ◽  
Numerical Examples ◽  
Additional Information

Abstract In this paper the sensitivity of the configuration of a mechanism to small variations in the precision point locations and corresponding coupler rotations is presented. The changes in the locations of the centerpoints and circlepoints, hence the dyads constituting the mechanism, due to these variations are determined by evaluating the total differentials of these quantities. The method is applied to mechanisms designed by the Burmester Theory of Planar Motion for four precision and five precision points. This additional information on sensitivity is shown to be useful in the process of mechanism design (Mahableshwarkar, 1989). Numerical examples are included to illustrate the formulation.

Optimal Ordering for Deteriorating Items of Fixed-Life with Quadratic Demand and Two-Level Trade Credit

2016 ◽  
pp. 1-16 ◽  
Author(s):  
Nita H. Shah ◽  
Mrudul Yogeshkumar Jani
Keyword(s):  
Sensitivity Analysis ◽  
Decision Maker ◽  
Trade Credit ◽  
Life Time ◽  
Deteriorating Items ◽  
Total Cost ◽  
Credit Period ◽  
Numerical Examples ◽  
Optimal Ordering ◽  
Purchase Quantity

This chapter studies the retailer's ordering policies when items in the stocking system has fixed life time and subject to deteriorate with time. The demand is considered to be quadratically decreasing. The supplier offers credit period to the retailer which in turn is partially passed on to customer. The retailer is the decision maker and the objective is to minimize the total cost of the system by ordering optimum purchase quantity. Numerical examples are given to find the best possible scenario for the retailer. Sensitivity analysis is carried out to derive player's insights.

scholarly journals Sensitivity analysis of waveguide eigenvalue problems

2011 ◽  
Vol 9 ◽  
pp. 85-89 ◽  
Author(s):  
N. Burschäpers ◽  
S. Fiege ◽  
R. Schuhmann ◽  
A. Walther
Keyword(s):  
Sensitivity Analysis ◽  
Eigenvalue Problem ◽  
Eigenvalue Problems ◽  
Wave Number ◽  
Design Parameters ◽  
Dielectric Waveguides ◽  
Integration Technique ◽  
Numerical Examples ◽  
Numerical Effort ◽  
Complex Solutions

Abstract. We analyze the sensitivity of dielectric waveguides with respect to design parameters such as permittivity values or simple geometric dependencies. Based on a discretization using the Finite Integration Technique the eigenvalue problem for the wave number is shown to be non-Hermitian with possibly complex solutions even in the lossless case. Nevertheless, the sensitivity can be obtained with negligible numerical effort. Numerical examples demonstrate the validity of the approach.

Domain Composition Method for Structural Optimization

2014 ◽  
Author(s):  
Wei Song ◽  
Hae Chang Gea ◽  
Bin Zheng
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Structural Optimization ◽  
Design Domain ◽  
Material Distribution ◽  
Numerical Examples ◽  
Composition Method ◽  
Domain Composition ◽  
Fixed Design ◽  
Design Requirements

Conventionally, design domain of topology optimization is predefined and is not adjusted in the design optimization process since designers are required to specify the design domain in advance. However, it is difficult for a fixed design domain to satisfy design requirements such as domain sizing adjustment or boundaries change. In this paper, Domain Composition Method (DCM) for structural optimization is presented and it deals with the design domain adjustment and the material distribution optimization in one framework. Instead of treating design domain as a whole, DCM divides domain into several subdomains. Additional scaling factors and subdomain transformations are applied to describe changes between different designs. It then composites subdomains and solve it as a whole in the updated domain. Based on the domain composition, static analysis with DCM and sensitivity analysis are derived. Consequently, the design domain and the topology of the structure are optimized simultaneously. Finally, the effectiveness of the proposed DCM for structural optimization is demonstrated through different numerical examples.

Retailer’s Ordering Policy in a Supply Chain when Demand is Price and Credit Period Dependent

2011 ◽  
Vol 2 (4) ◽  
pp. 61-74 ◽  
Author(s):  
Chandra K. Jaggi ◽  
Amrina Kausar
Keyword(s):  
Sensitivity Analysis ◽  
Trade Credit ◽  
Credit Policy ◽  
Great Role ◽  
Credit Period ◽  
Numerical Examples ◽  
On Demand ◽  
Partial Trade Credit ◽  
Full Credit ◽  
Ordering Policy

Trade credit is a well established promotional tool in the present competitive world and its impact on demand cannot be ignored. Businesses often use trade credit to increase their market share and, in turn, the profit. Undoubtedly, trade credit plays a great role in increasing the demand but it also involves a great risk of non-payment. In order to reduce the risk of non-payment, businessman at times use a partial trade credit policy in which they demand a certain percentage of the total amount from the customer at the time of purchase and offers the credit for the remaining amount. Furthermore, it is also observed that the demand of FMCG is highly price sensitive. In order to see the effect of credit and price together, on demand, the retailer’s demand is taken as a function of price and credit period. Moreover it is assumed that the supplier offers the full credit to the retailer but the retailer passes a partial credit to customers. The inventory model, determines the optimal replenishment time, credit period, and price for the retailer that maximizes profit. Numerical examples have been provided to support the model followed by the comprehensive sensitivity analysis.

A New Reliability Calculation Algorithm Based on Sensitivity Analysis and its Application to Reliability-Based Robust Global Optimization of Electromagnetic Device with Uncertain Design Variables

2012 ◽  
Vol 721 ◽  
pp. 165-170 ◽  
Author(s):  
Zi Yan Ren ◽  
Dian Hai Zhang ◽  
Minh Trien Pham ◽  
Chang Seop Koh
Keyword(s):  
Sensitivity Analysis ◽  
Calculation Algorithm ◽  
Numerical Examples ◽  
First Order ◽  
Electromagnetic Device ◽  
Reliability Calculation ◽  
Design Variables ◽  
Robust Optimal Design ◽  
Reliability Methods ◽  
Mcs Method

A novel reliability calculation algorithm is developed and applied to a robust optimization of electromagnetic device with uncertain design variables taken into account. The proposed algorithm, to calculate the reliability of a given design, incorporates sensitivity analysis based on finite element method with Monte Carlo simulation (MCS) method so that it has higher numerical efficiency than conventional methods: MCS and first-order reliability methods. Through numerical examples, its applicability to a reliability-based robust optimal design of electromagnetic device is demonstrated.

scholarly journals Modelling Accuracy of a Car Steering Mechanism with Rack and Pinion and McPherson Suspension

2016 ◽  
Vol 21 (3) ◽  
pp. 751-759 ◽  
Author(s):  
J. Knapczyk ◽  
P. Kucybała
Keyword(s):  
Sensitivity Analysis ◽  
Simulation Model ◽  
Geometrical Parameters ◽  
Model Accuracy ◽  
Numerical Examples ◽  
Steering Mechanism ◽  
Prismatic Joints ◽  
Position And Orientation ◽  
Unit Vectors

Abstract Modelling accuracy of a car steering mechanism with a rack and pinion and McPherson suspension is analyzed. Geometrical parameters of the model are described by using the coordinates of centers of spherical joints, directional unit vectors and axis points of revolute, cylindrical and prismatic joints. Modelling accuracy is assumed as the differences between the values of the wheel knuckle position and orientation coordinates obtained using a simulation model and the corresponding measured values. The sensitivity analysis of the parameters on the model accuracy is illustrated by two numerical examples.

scholarly journals A fractional complex network model for novel corona virus in China

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
H. A. A. El-Saka ◽  
I. Obaya ◽  
H. N. Agiza
Keyword(s):  
Sensitivity Analysis ◽  
Complex Network ◽  
Epidemic Model ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
The Novel ◽  
Zoonotic Virus ◽  
Numerical Examples ◽  
Novel Coronavirus ◽  
Varying Population

AbstractAs is well known the novel coronavirus (COVID-19) is a zoonotic virus and our model is concerned with the effect of the zoonotic source of the coronavirus during the outbreak in China. We present a SEIS complex network epidemic model for the novel coronavirus. Our model is presented in fractional form and with varying population. The steady states and the basic reproductive number are calculated. We also present some numerical examples and the sensitivity analysis of the basic reproductive number for the parameters.

Six Sigma Based Integrated Mathematical Model for Optimizing Electronic Marketing Decisions

2012 ◽  
Vol 3 (2) ◽  
pp. 61-76
Author(s):  
Hamed Fazlollahtabar
Keyword(s):  
Mathematical Model ◽  
Six Sigma ◽  
Management Information Systems ◽  
Mathematical Framework ◽  
Management Information ◽  
Web Based ◽  
Marketing Environment ◽  
Numerical Examples ◽  
Additional Information ◽  
Electronic Marketing

Web-based systems have been utilized widely. These systems enable consumers to be aware of the product and provide them additional information to set the final purchase. Therefore, configuring electronic marketing outlets is necessary. Here, the author points out different aspects of information technology (IT) in marketing. The author proposes an integrated mathematical framework to optimize decisions in web-based marketing environment considering online catalogues. Using the concepts of management information systems, the customers’ visit data of viewing the producers’ websites and web-based catalogues are recorded. These data are applied in marketing optimizations. The six sigma concept is considered as a threshold for attractiveness of customers on a product. The effectiveness and applicability of the proposed integrated model is illustrated in numerical examples.

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