Constraint Minimization-Pen and Paper Calculation

`f(x) = 5-(x-2)^2 - 2(y-1)^2`

       `5 - x^2-4+4x-2y^2-2+4y = 0`

       `-x^2-2y^2+4x+4y-1=0`

        

g(x)=f(x)+λ

`g(x) = -x^2-2y^2+4x+4y-1 + λ (x+4y-3)`

 

`(del g)/(del x)` = -2x+4+λ = 0  -----eq 1

`(del g)/(dely) = -4y+4+4λ`= 0 ------  eq2

`(del g)/(del λ) = x +4y-3 =0` -----    eq3

 

 

`-4y+4+4λ = 0 ---   eq2`

/4 in common

`-y+1+λ = 0`

`λ = y-1----- eq 4`

putting eq4  in eq 1 and 3

`-2x + y + 3 = 0------eq5`

`2x + 8y -6 = 0  ------eq6`

eq5/eq6

`-2x + y +3 = 0`

`2x + 8y - 6 = 0`

`-------------------`

       `9y - 3 = 0`

 

`y = 1/3`

`λ = (1/3)-1`

`λ = -2/3`

`-2x + y + 3 = 0`

`-2x + (1/3) =3 =0`

 

`x =5/3`

 


Projects by Sachin M

SIDE CRASH OF CHRYSLER NEON The Chrysler Neon is a front-engine, front-wheel-drive compact car introduced in January 1994 for the model year 1995 by Chrysler\'s Dodge and Plymouth divisions in two and four-door body styles over two generations. BIW : BIW (Body in Whi Read more

FRONTAL CRASH OF CHRYSLER NEON The Chrysler Neon is a front-engine, front-wheel-drive compact car introduced in January 1994 for the model year 1995 by Chrysler\'s Dodge and Plymouth divisions in two and four-door body styles over two generations. BIW : BIW (Body in Read more

Objective :   To mesh the given bumper model using Hypermesh and simulate crash tube with different contact interface type using Radioss. Explanation : The given Bumper is meshed under given conditions.                 Read more

1.Objective :    To compare the simulation of different cases by assigning different laws and also observing the corresponding behaviour of the material for the given model. 2.Explanation: Regarding files such as 0000.rad and 0001.rad files are required t Read more

1.Objectives:      To compare the result of the base simulation and improve shell element properties. 2.Explanation :   2.1 Simulation 1 : First, 0000.rad file is imported to the Hypermesh. To get a minimum of 25 animation files, frequency is Read more

Objective:     The aim of this project is to do a geometry clean up for given models and perform 2D mesh using the midplane surface extract for the given parameters for the shell element. Procedure: Import the given model to Hypermesh --- Radioss. The Rad Read more

File Parsing using Python
Sachin M · 2019-09-14 04:42:56

Objective :    The aim of this project is do file parsing using python for different data provided in the file. Explanation:    File Parsing :         Text parsing is a common programming task that splits the given s Read more

Objective :      The main aim of the task is to perform a curve fit for linear and cubic polynomials equation and to find which curve fits the best to the actual data curve. Explanation :            The main aim of the cur Read more

Objective:   The main objective the process is to mesh the given hood model using ansa and do the hemming process at last. Hemming:    The hemming process is used in many automation where it helps to join two different surfaces with different material Read more


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