A series-form solution of the coupled nonlinear equations by the method of directly defined inverse mapping and SRM

2019 ◽  
pp. 1-10
Author(s):  
K. Gangadhar ◽  
M. Venkata Subba Rao ◽  
Sunil Kumar ◽  
Sonia Sharma ◽  
Shankar Rao Munjam
Keyword(s):  
Nonlinear Equations ◽  
Form Solution ◽  
Inverse Mapping ◽  
Series Form

Calculation of the Equilibrium Configuration of Shopping Facility Sizes

1980 ◽  
Vol 12 (9) ◽  
pp. 983-1000 ◽  
Author(s):  
P A Phiri
Keyword(s):  
Closed Form ◽  
Nonlinear Equations ◽  
Gradient Method ◽  
Equilibrium Configuration ◽  
Closed Form Solution ◽  
Theoretical Framework ◽  
Form Solution ◽  
Method Of Solution ◽  
Special Case ◽  
General Method

This paper presents a range of methods for computing the equilibrium configuration of shopping facility sizes. First, the presently available range of quasi-balancing factor methods is considered and built into a theoretical framework in which further algorithms may be defined. Then the use of the gradient method is considered, which is a general method of solution of nonlinear equations. Last, it is shown that a special case exists in which a closed form solution may be obtained.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations

Plane Wave Resonance in the Tire Air Cavity as a Vehicle Interior Noise Source

1995 ◽  
Vol 23 (1) ◽  
pp. 2-10 ◽  
Author(s):  
J. K. Thompson
Keyword(s):  
Closed Form Solution ◽  
Form Solution ◽  
Interior Noise ◽  
Cavity Resonance ◽  
Test Results ◽  
Vehicle Interior ◽  
Air Cavity ◽  
Vehicle Interior Noise ◽  
Wave Resonance ◽  
Resonance Frequencies

Abstract Vehicle interior noise is the result of numerous sources of excitation. One source involving tire pavement interaction is the tire air cavity resonance and the forcing it provides to the vehicle spindle: This paper applies fundamental principles combined with experimental verification to describe the tire cavity resonance. A closed form solution is developed to predict the resonance frequencies from geometric data. Tire test results are used to examine the accuracy of predictions of undeflected and deflected tire resonances. Errors in predicted and actual frequencies are shown to be less than 2%. The nature of the forcing this resonance as it applies to the vehicle spindle is also examined.

Solving System of Nonlinear Equations using Genetic Algorithm

2019 ◽  
Vol 10 (4) ◽  
pp. 877-886 ◽  
Author(s):  
Chhavi Mangla ◽  
Musheer Ahmad ◽  
Moin Uddin
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Equations ◽  
System Of Nonlinear Equations
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