When we’re taught about vibrations, every mathematical modelisation deals with a system of a fixed spring whose end has a certain mass, but how does this relate to real-world systems like a bridge or a building? The natural frequency of the spring-mass system is the number of back-and-forth movements being done per second, but what’s the equivalent of that for let’s say a building or a bridge or any real-life application?
In: 0
key point is every solid material is actually not a ‘rigid body’
they bend twist etc in reality
metals permanently deform with great force but some metals
if you push with less force before that point of no return
they come back to original shape
because they happen over time, they’re like springs
if you composite metal beams/carbon fiber with concrete/epoxy etc
very hard to theoretically calculate accurately
since it’s not just one known value of single metal nor concrete, depends on how they’re layered what orientation where will the load be etc
so it needs to be tested in real world
as if they’re springs with mass as 1 system to calculate the resonance frequency vibration characteristics etc
and if we keep building and testing different materials, orientations
we can find out theoretical value of that specific composite material
and use that to simulate more complex things
When we’re taught about vibrations, every mathematical modelisation deals with a system of a fixed spring whose end has a certain mass, but how does this relate to real-world systems like a bridge or a building? The natural frequency of the spring-mass system is the number of back-and-forth movements being done per second, but what’s the equivalent of that for let’s say a building or a bridge or any real-life application?
In: 0
key point is every solid material is actually not a ‘rigid body’
they bend twist etc in reality
metals permanently deform with great force but some metals
if you push with less force before that point of no return
they come back to original shape
because they happen over time, they’re like springs
if you composite metal beams/carbon fiber with concrete/epoxy etc
very hard to theoretically calculate accurately
since it’s not just one known value of single metal nor concrete, depends on how they’re layered what orientation where will the load be etc
so it needs to be tested in real world
as if they’re springs with mass as 1 system to calculate the resonance frequency vibration characteristics etc
and if we keep building and testing different materials, orientations
we can find out theoretical value of that specific composite material
and use that to simulate more complex things
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