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Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end)

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Chen Rex

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Jun 20, 2011, 7:02:02 AM6/20/11
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hi~I'm Rex.I have a problem,can anyone help me slove it.
The problem is : Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end)
The bar is shown in Fig.1(you can see in my blog,http://www.facebook.com/profile.php?...type=1&theater) and it elastic modulus of 200GPa, cross-sectional area of 0.001m^2, and density of 7860 kg/m^3. P=P0*sinΩ*t applied at point xi,wherei=1,2,3,4,5(five nodes) and respectively(P0=100 ,Ω=30 and t=10(s), t is time,P is force). the problem by commercial code such as matlab.
I have a matlab code(Euler–Bernoulli beam),This is the matlab code(Euler-Bernoulli beam).
http://www.mathworks.com/matlabcentr...orce-in-free-e
You can see it there,and try to run in matlab.how can i modify it and transform to Cantilever beam with end load.I can mail the code to you,tell me your mail please.
If you interested this question,we can discuss it.
This is my mail:a142...@yahoo.com.tw
My english is poor,i hope you understand the question which i asked.Nice to meet you.

Chen Rex

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Jun 20, 2011, 11:45:05 PM6/20/11
to
hi~I'm Rex.I have a problem,can anyone help me slove it. The problem is : Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end) The bar is shown in Fig.1(you can see in my blog. http://www.facebook.com/profile.php?...type=1&theater#!/photo.php?fbid=224903064204253&set=o.21222876640&type=1&theater) and it elastic modulus of 200GPa, cross-sectional area of 0.001m^2, and density of 7860 kg/m^3. P=P0*sinΩ*t applied at point xi,wherei=1,2,3,4,5(five nodes) and respectively(P0=100 ,Ω=30 and t=10(s), t is time,P is force). the problem by commercial code such as matlab. I have a matlab code(Euler–Bernoulli beam),This is the matlab code(Euler-Bernoulli beam). http://www.mathworks.de/matlabcentral/answers/9519-draw-the-mode-shapes-and-get-the-natural-frequencies-of-the-cantilever-beam-with-a-force-in-free-e You can see it there,and

Chen Rex

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Jun 21, 2011, 5:15:07 AM6/21/11
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"Chen Rex" <a142...@yahoo.com.tw> wrote in message <itn9ba$6k9$1...@newscl01ah.mathworks.com>...

> hi~I'm Rex.I have a problem,can anyone help me slove it.
> The problem is : Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end)
> The bar is shown in Fig.1(you can see in my blog.
http://www.facebook.com/profile.php?...type=1&theater)#!/photo.php?fbid=224903064204253&set=o.21222876640&type=1&theater) and it elastic modulus of 200GPa, cross-sectional area of 0.001m^2, and density of 7860 kg/m^3. P=P0*sin&#937;*t applied at point xi,wherei=1,2,3,4,5(five nodes) and respectively(P0=100 ,&#937;=30 and t=10(s), t is time,P is force). the problem by commercial code such as matlab.

> I have a matlab code(Euler&#8211;Bernoulli beam),This is the matlab code(Euler-Bernoulli beam).
> http://www.mathworks.de/matlabcentral/answers/9519-draw-the-mode-shapes-and-get-the-natural-frequencies-of-the-cantilever-beam-with-a-force-in-free-e

Chen Rex

unread,
Jun 21, 2011, 5:16:04 AM6/21/11
to
hi~I'm Rex.I have a problem,can anyone help me slove it. The problem is : Draw the mode shapes and get the natural frequencies of the cantilever beam(with a force in free end) The bar is shown in Fig.1(you can see in my blog. http://www.facebook.com/profile.php?...type=1&theater#!/photo.php?fbid=224903064204253&set=o.21222876640&type=1&theater) and it elastic modulus of 200GPa, cross-sectional area of 0.001m^2, and density of 7860 kg/m^3. P=P0*sin&#937;*t applied at point xi,wherei=1,2,3,4,5(five nodes) and respectively(P0=100 ,&#937;=30 and t=10(s), t is time,P is force). the problem by commercial code such as matlab. I have a matlab code(Euler&#8211;Bernoulli beam),This is the matlab code(Euler-Bernoulli beam). http://www.mathworks.de/matlabcentral/answers/9519-draw-the-mode-shapes-and-get-the-natural-frequencies-of-the-cantilever-beam-with-a-force-in-free-e You can see it there,and
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