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Dynamic of structure: Mode shape

SPRstructur
15-Moonstone

Dynamic of structure: Mode shape

Dear all

I have a bit about matrix and I try to understand the dynamic of building structure , could you all share me the sheet of calculate mode shape of building as shown in example-1 attachment? Do for me  
big thank all

04D59FDC-CA81-4E92-A434-1DBCD4EFF22D.jpeg

EEE3BA6C-3638-427F-B25A-8869449AD6B3.png

E7D1243C-6C91-4CC6-8740-2092F4B1A077.png

2DD631D2-8790-4F62-A6FE-0B10DAD5BA34.png

4BADB418-8886-4FC7-83C7-87F1F6070A76.jpeg

03F2A8D9-2255-4869-8423-5EDF06F96E7C.png

3 REPLIES 3

Try to look at "DynamAssist" for Mathcad: http://www.dynamassist.com/

Hi,

 

You can construct the matrices for lateral stiffness and mass.  You can construct the equation 11 and solve for omega the natural frequencies. Prime does not simplify the three values as far as it can you need to do this manually to get the values in the example.

 

Capture.JPG

 

To solve for mode shape the example solves by inspection.  You cannot do that in Prime?

Still working on it!

 

Cheers

Terry


@terryhendicott wrote:

Prime does not simplify the three values as far as it can


You may consider using an appropriate "assume" modifier and  don't use "float" too soon 😉

Werner_E_0-1588366302346.png

 

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