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MathGroup Archive 2007

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Re: Re: Membrane

  • To: mathgroup at smc.vnet.net
  • Subject: [mg74450] Re: [mg74387] Re: Membrane
  • From: Daniel Huber <dh at metrohm.ch>
  • Date: Thu, 22 Mar 2007 01:05:06 -0500 (EST)
  • References: <etlpv8$r6j$1@smc.vnet.net> <200703200302.WAA14608@smc.vnet.net> <460024C6.6010104@mail.wsu.edu>

Hi,
we settled the matter privately. Here is a possible solution:
Hi Nodar,
StackGraphics will stack any 2 dimensional , not only curves. Here is an 
example:
<< Graphics`FilledPlot`
<<Graphics`Graphics3D`
g1 = FilledPlot[{Sin[x], Cos[x]}, {x, Pi/4, (5/4)*Pi}]
Show[StackGraphics[{g1, g1, g1, g1}]]
note that sometimes ther are small errors visible.
Daniel

gardyloo wrote:
>    My reading of the question is that he's fixing the four sides of a
> rectangular section of membrane at a certain constant displacement (on
> three sides) and at F(x) (the fourth side), and needs a minimal-energy
> surface which satisfies those boundary conditions in the static case.
>
>    If that's the case, and he can solve the problem analytically or
> numerically, he just needs a Plot3D statement with the arguments as
> (say) the Cartesian coordinates of the membrane projected on the x-y plane.
>
>    Of course, I may be way off there.
>
>                          Curtis O.
>
>
>
> dh wrote:
>   
>> Hi Nodar,
>>
>> your description is not good. A surface can in general not be defined by 
>>
>> 4 curves (three lines and curve F(x)). What do you mean exactly?
>>
>> Daniel
>>
>>
>>
>> shubi at nusun.jinr.ru wrote:
>>
>>   
>>     
>>> Dear All !
>>>     
>>>       
>>   
>>
>>   
>>     
>>> I wont create a 3D Graphical object as opaque membrane limited by the
>>>     
>>>       
>>   
>>     
>>> three lines and curve F(x) on the upper side. Then, compose new
>>>     
>>>       
>>   
>>     
>>> Graphic from the such objects.
>>>     
>>>       
>>   
>>     
>>> Please help me.
>>>     
>>>       
>>   
>>     
>>>                                                  Nodar Shubitidze
>>>     
>>>       
>>   
>>     
>>>                                                  Joint Institute for
>>>     
>>>       
>>   
>>     
>>> Nuclear Research
>>>     
>>>       
>>   
>>     
>>>                                                  Dubna, Moscow reg.,
>>>     
>>>       
>>   
>>     
>>> Russia
>>>     
>>>       
>>   
>>
>>   
>>
>>
>>
>>
>>   
>>     
>
>
>   


-- 

Daniel Huber
Metrohm Ltd.
Oberdorfstr. 68
CH-9100 Herisau
Tel. +41 71 353 8585, Fax +41 71 353 8907
E-Mail:<mailto:dh at metrohm.ch>
Internet:<http://www.metrohm.ch>



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