Application Center - Maplesoft

Wenden Sie sich an Maplesoft Preisangebot anfordern

Submit your work

Application Center Applications Resolucion de la ecuacion de placas planas de germain-lagrange Preview

App Preview:

Resolucion de la ecuacion de placas planas de germain-lagrange

You can switch back to the summary page by clicking here.

Learn about Maple

Download Application

RESOLUCION DE LA ECUACION DE PLACAS DE GERMAIN-LAGRANGE

Definimos la ecuacion diferencial de placas

>	EDO:=Diff(y(x),x$4)+k=0;

Soluci?n general

>	dsolve (EDO,y(x));

Soluciones particulares seg?n las diferentes condiciones de borde

Condiciones de borde para apoyado-apoyado

>	AA:=y(0)=0,y(a)=0,D(D(y))(0)=0,D(D(y))(a)=0;

Solucion particular con tales condiciones

>	dsolve({EDO,AA},y(x));

Condiciones de borde para empotrado-libre

>	EL:=y(0)=0,D(y)(0)=0,D(D(y))(a)=0,D(D(D(y)))(a)=0;

Soluci?n particular con tales condiciones

>	dsolve({EDO,EL},y(x));

Condiciones de borde para empotrado-empotrado

>	EE:=y(0)=0,D(y)(0)=0,y(a)=0,D(y)(a)=0;

Solcion particular con tales condiciones

>	dsolve({EDO,EE},y(x));

Representaci?n gr?fica de los diferentes casos. Suponemos k = 0.001 y a = 4

Caso apoyado-apoyado

>	*plot((-0.001/24)(x^4)+(0.0014/12)(x^3)-(0.0014^3)x/24,x=0..4);**

Plot_2d

Caso empotrado-libre

>	*plot((-0.001/24)(x^4)+(0.0014/6)(x^3)-(0.0014^2)(x^2)/4,x=0..4);**

Plot_2d

Caso empotrado-empotrado

>	*plot((-0.001/24)(x^4)+(0.0014/12)(x^3)-(0.0014^2)(x^2)/24,x=0..4);**

Plot_2d

Legal Notice: ? Maplesoft, a division of Waterloo Maple Inc. 2009. Maplesoft and Maple are trademarks of Waterloo Maple Inc. Neither Maplesoft nor the authors are responsible for any errors contained within and are not liable for any damages resulting from the use of this material. This application is intended for non-commercial, non-profit use only. Contact the authors for permission if you wish to use this application in for-profit activities.