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HW |
grade |
about |
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1 |
95% |
series/parallel stiffness, How to use \(x=\operatorname {Re}\left \{Xe^{i\omega t}\right \}\) to analyze systems earliest time to reach maximum value/speed, complex exponential
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2 |
95.70% |
eq. of motion cube in water, more use of complex exponential analyzing in complex plane. Logarithmic decrement from graph. Impulse problem
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3 |
100% |
small lab
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4 |
98.75% |
force applied for small period, find response. Impulse force on system. analyse in complex plane. resonance problem, students on bridge.
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5 |
88% |
2 DOF system, shock observer on spring.Force transmission to base. off center motion, find EQM. 2 counter-rotating masses
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6 |
97.50% |
Find complex Fourier series.Verify using fft. Simple model of car moving on ground, find EQM. Fourier series. rectangle force, Fourier series.
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7 |
95% |
Using FFT to find response. Transfer functions Compare to analytical. Using Lagrange to find EQM, 2 DOF.
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8 |
99% |
non-linear EQM, spring stiff approximation. Lagrangian. Model of wing. cart on spring with sliding mass on it with spring. Lagrangian. Finding \(\omega _{n}\) for 2DOF
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A1 |
100% |
more spring stiff approximation. manipulation of complex form of solution. half-power point, finding phase lag, solving step response using appendix B method
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9 |
95% |
Full solution in modal coordinates. Mass normalized. Initial conditions in modal coordinates. All problems done in power balance method. Double physical pendulum
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10 |
92.5% |
Full solution in modal coordinates. 3 DOF problem
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11 |
93.3% |
modal analysis, with damping using specific modal damping. Structual damping Compare transfer functions for each damping method used. Ritz method, shape functions. plot mode shapes.
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