


HW  Description of HW  link 



1 

Solve 2nd order ODE

Calculate maximum value of the peak response (magniﬁcation factor) for a system with some damping ratio
given (Quadrature peak picking method)

Solve for the forced response of a singledegreeoffreedom system to a harmonic excitation

Discuss the stability of 2nd order ODE

Find range of values for PD controller in feedback for stability

Compute a feedback law with full state feedback

Find the equilibrium points of the nonlinear pendulum equation

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2 

Find EQM for massspring with dynmaic friction on incline (this is nonlinear EQM due to columb friction)

Modal analysis problem on 2 by 2 system

Find EQM using lagrangian, 2 pendulums attached by one spring between them

Another Modal analysis problem on 2 by 2 system

2nd order system, subject to 2 impulses, ﬁnd response using convolution

Convolution problem. Underdamped system, force is half sin

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3 

Find EQM, one mass, 2 springs, diﬀerent k, springs only attached when hit

Find EQM using Lagrangian, pendulum, but string is rubber band with some stiﬀness.

Find exact solution to nonlinear pendulum EQM

nonlinear second order ODE. Find equilibrium points and stability at these.

nonlinear 2nd order. Find stability around equilibrium

similar to above, but ﬁnd stability conditions based on damping sign

columb damping and phase plane

Given phase plane equation (i.e. dy/dx), determine stability. i.e. go back from phase plane to the system matrix

Solve Van Der Pol using perurbation

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