Random Response of a MDOF System Using ode45

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EhsanZ
EhsanZ 2017-2-1
回答： Aadarsh Jain 2019-5-14
Hi,
I want to calculate the random response of a MDOF system (Response of the system when it is being excited at some of its DOFS by a zero-mean random excitation). The system is a simple 5 DOF lumped mass-spring system. I derived the mass, damping, and stiffness matrices of the system. Next, I rewrote the governing differential equation of the system (Mx'' + Cx' + kx = f) in the from q' = f(q) in order to use ode45 to calculate the time domain response of the system. The code works well when the system is excited by lets say sin(2*pi*f*t) or step function or... . However, when I use a random number generator rand or randn to excite the system with a zero-mean random process, it takes the code too much to reach the answer. The time is too long (due to too short time intervals of the solution process in ode45). Can anybody say if there is another way to calculate the random response of an M,C,K model?

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KSSV
KSSV 2017-2-2
编辑：KSSV 2017-2-2
There are other methods like Newmark beta method...You may refer Dynamic of structures - Clough and/or Finite element Procedures - Bathe

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Aadarsh Jain
Aadarsh Jain 2019-5-14
Hey Ehsan Z,
I have been trying to write the ODE for MDOF system in matlab. I am finding it very difficult to input ground acceleration for given time range and finding the solution. Kindly help.
Thank you
Aadarsh Jain
ME17F09F006@geca.ac.in

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