Euler Bernoulli to second order ode

AI Thread Summary
The discussion focuses on the simplification of a cantilever beam's dynamics into a spring-mass system when analyzing tip movement at the first eigenmode frequency. The original poster seeks references or papers that provide proof of this concept. A suggested resource is provided, which may clarify the fundamentals and include references for further exploration of the proofs. The inquiry highlights the need for foundational literature in structural dynamics. This topic is essential for understanding beam behavior under specific excitation conditions.
umarkhan
Messages
7
Reaction score
0
hello,
I have read in a number of papers that if we have a cantilever beam and are only interested in the movement of the tip when the base is being excited at the frequency of the first eigen mode , then the whole beam can be replaced by a spring mass system. Can anyone tell me of a paper or book where this is actually proved?

Thanks.
 
Engineering news on Phys.org
The paper will help clarify the basics and the references at the bottom will help in finding information on the various proofs.

http://faculty.uml.edu/pavitabile/22.403/web_downloads/Final_Project_Cantilever_101806.pdf
 

Thread 'A practical way to vaporize fuel for high MPG?'

Here's a video by “driving 4 answers” who seems to me to be well versed on the details of Internal Combustion engines. The video does cover something that's a bit shrouded in 'conspiracy theory', and he touches on that, but of course for phys.org, I'm only interested in the actual science involved. He analyzes the claim of achieving 100 mpg with a 427 cubic inch V8 1970 Ford Galaxy in 1977. Only the fuel supply system was modified. I was surprised that he feels the claim could have been...
View full post »
Thread 'Turbocharging carbureted petrol 2 stroke engines'

Thread 'Turbocharging carbureted petrol 2 stroke engines'

Hi everyone, online I ve seen some images about 2 stroke carbureted turbo (motorcycle derivation engine). Now.. In the past in this forum some members spoke about turbocharging 2 stroke but not in sufficient detail. The intake and the exhaust are open at the same time and there are no valves like a 4 stroke. But if you search online you can find carbureted 2stroke turbo sled or the Am6 turbo. The question is: Is really possible turbocharge a 2 stroke carburated(NOT EFI)petrol engine and...
View full post »

Similar threads

Finite Element Model of Euler-Bernoulli Beam Theory
Replies
1
Views
2K
Euler-Bernoulli bending moment equation, how do you know it's right?
Replies
8
Views
7K
How Can Euler-Bernoulli's Equation Be Solved Numerically Using C++?
Replies
1
Views
2K
Request For a Set of Eyes on an Oscillating Steel Cantilever
Replies
1
Views
2K
I Second order non-homogeneous linear ordinary differential equation
Replies
2
Views
3K
Euler-Bernoulli Beam Theory and Nonlinear Differential Equations
Replies
9
Views
8K
Effective Flexural Rigidity (EI) of Composite Cantilever Beam
Replies
13
Views
9K
How do I calculate the bending energy for a cross-linked beam network?
Replies
3
Views
13K
MATLAB Solving a Cantilever Beam Problem with MATLAB
Replies
5
Views
18K
Model Angular Torque of Euler-Bernoulli Beam in Polar Coords
Replies
6
Views
4K

Hot Threads

Recent Insights

Back
Top