Dynamic equilibrium of vibrated beam-column member

AI Thread Summary
The equation presented describes the dynamic equilibrium of a vibrated beam-column member under specific boundary conditions. It incorporates the dynamic moment, shear force at one end, external dynamic loading, and inertia force due to mass and acceleration. The integral term accounts for the distribution of forces along the length of the member. The discussion seeks validation of the equation's accuracy in representing the dynamic behavior of the system. Overall, it emphasizes the importance of understanding these dynamics in structural analysis.
omarxx84
Messages
28
Reaction score
0
hi colleages...is the equation below represent a dynamic equilibrium of vibrated beam-column member and simple boundary conditions?

M(x,t)=Q(0,t)*x+integral{q(x,t)-mass*acceleration(x,t)}*(L-x)dx

where

M(x,t)= dynamic moment.
Q(0,t)=shear at x=0.
q(x,t)= external dynamic loading.
mass*accel.(x,t)= inertia force.
 
Engineering news on Phys.org


hi colleages...is the equation below represent a dynamic equilibrium of vibrated beam-column member and simple boundary conditions?

M(x,t)=Q(0,t)*x+integral{q(x,t)-mass*acceleration(x,t)}*(L-x)dx

where

M(x,t)= dynamic moment.
Q(0,t)=shear at x=0.
q(x,t)= external dynamic loading.
mass*accel.(x,t)= inertia force.
 
I have Mass A being pulled vertically. I have Mass B on an incline that is pulling Mass A. There is a 2:1 pulley between them. The math I'm using is: FA = MA / 2 = ? t-force MB * SIN(of the incline degree) = ? If MB is greater then FA, it pulls FA up as MB moves down the incline. BUT... If I reverse the 2:1 pulley. Then the math changes to... FA = MA * 2 = ? t-force MB * SIN(of the incline degree) = ? If FA is greater then MB, it pulls MB up the incline as FA moves down. It's confusing...
Hi. I noticed that all electronic devices in my household that also tell time eventually lag behind, except the ones that get synchronized by radio signal or internet. Most of them are battery-powered, except my alarm clock (which runs slow as well). Why does none of them run too fast? Deliberate design (why)? Wrong temperature for quartz crystal? Decreasing battery voltage? Or just a coincidence?
Back
Top