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## Homework Statement

Working on a project for a vibrations course, task is to quantitatively analyse a system in which mechanical vibrations occur. I chose to model aircraft landing gear, for a variety of different airplanes, namely one large transport (747), a simple tricycle gear GA plane with cantilever suspension (Cessna 172), and either a taildragger or else another trike with an oleo type shock absorber.

## Homework Equations

I was planning on modelling the system as a non-homogenous second order differential equation, with the forcing function being some sort of impulse or sum of impulses (possibly using the Dirac Delta function or a convolution integral, but I still need to work that out). However, I was wondering if anyone would be able to help me to figure out or derive parameters such as damping ratio, equivalent spring constants, and also how factors like Weight and Balance, would affect the system response. I plan to do some quantitative analysis in MATLAB for this project, and what I would ultimately like to be able to do is to generate data and plots for maximum passenger acceleration and also gear displacement as a function of time.