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Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

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Re: Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

Hi Werner

The function Wm is the wavelet function and as essentially 5 "variables", t(ime) and a,b,c,d coefficients. The idea is to define m sets of coefficients (a to d) and create a new function x2(t) which is the sum of all the Wm functions. A bit like a fourier series if you want

Will attach an updated mcad sheet based on all the inputs so far very shortly.

Regards

JXB

Re: Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

J B wrote:

Clarification for < t > statment. I changed to an OR statment. Will attahced a ver2 of the mcad sheet soon

OK, that changes the sum function, too, of coursed. I used Alans version in my previous answer.

You may alternatively define

2.png

Can you clarify your need concerning that sum?

1.png

Re: Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

Werner

The sum of the Wm(t) functions creates a time signal/histort based on Shock Response Spectrum (SRS) specification. If one takes the time signal and convert it to an SRS (response of 1-DoF spring-mass system to the created time history) then one should get the "same-ish" SRS. The clever bit (which I haven't figures out!) is to create a (large enought) set of coefficients (a,b,c,d) to create this time history.

Capture3.PNG

Re: Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

J B wrote:

Werner

The sum of the Wm(t) functions creates a time signal/histort based on Shock Response Spectrum (SRS) specification. If one takes the time signal and convert it to an SRS (response of 1-DoF spring-mass system to the created time history) then one should get the "same-ish" SRS. The clever bit (which I haven't figures out!) is to create a (large enought) set of coefficients (a,b,c,d) to create this time history.

Comparing the two plots I guess you got what you had asked for. You may consider adding units throughout. You simply have to type something like InputFreq:=InputFreq*Hz, etc. after you exctracted the values from your table.

Re: Summing function Wm(time,a,b,c,d) from m=0 to m=n ?

Thanks to all for the help. Moving on to the next bit of the tool....

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