Alex's Assignment - Revision history

Abanton at 04:30, 2 November 2010

2010-11-02T04:30:50Z

← Older revision		Revision as of 21:30, 1 November 2010
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	==Equations==		==General Equations==
	The first thing I need to do is write down the general equations for the Fourier Series:		The first thing I need to do is write down the general equations for the Fourier Series:

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	==		==Equations==

	Now that we have the basic equations for a Fourier Series we can begin to calculate for the spring dampener system.		Now that we have the basic equations for a Fourier Series we can begin to calculate for the spring dampener system.
			knowing that as the vehicle travels down a rough road it creates a displacement x we can equate the formula for the system.
			The forces apposing the displacement are:

			The mass of the vehicle for one tire <math>\frac{1}{4}M</math>

			The spring constant <math>Kx</math>

			And the Dampening of the shock <math>Du</math>

			Plugging in the forces into an Ordinary Differential Equation we get:

			<math>Mu'+Du+Kx=0</math>

2010-11-02T04:14:26Z

← Older revision		Revision as of 21:14, 1 November 2010
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	==Alex's Fourier Project==		==Alex's Fourier Project==
	I chose to do my LNA project on a spring mass and dampener system such as what you would find on an automobile. As shown on the picture we have a mass (m), spring (k), and dampener (c).		I chose to do my LNA project on a spring mass and dampener system such as what you would find on an automobile. As shown on the picture we have a mass (M), spring (K), and dampener (D).

			[[Image:LNAHW-8.jpg\|thumb\|500px\|right]]

2010-11-02T04:11:24Z

← Older revision		Revision as of 21:11, 1 November 2010
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	I chose to do my LNA project on a spring mass and dampener system such as what you would find on an automobile.		==Alex's Fourier Project==
			I chose to do my LNA project on a spring mass and dampener system such as what you would find on an automobile. As shown on the picture we have a mass (m), spring (k), and dampener (c).


			==Equations==
	The first thing I need to do is write down the general equations for the Fourier Series:		The first thing I need to do is write down the general equations for the Fourier Series:

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			==

	Now that we have the basic equations for a Fourier Series we can begin to calculate for the spring dampener system.		Now that we have the basic equations for a Fourier Series we can begin to calculate for the spring dampener system.

2010-11-02T03:45:18Z

← Older revision		Revision as of 20:45, 1 November 2010
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	~~AH HA HA HA HA! RABBIT RABBIT!!!!~~		I chose to do my LNA project on a spring mass and dampener system such as what you would find on an automobile.
			The first thing I need to do is write down the general equations for the Fourier Series:

			<math>\begin{align}
			x(t) &= x(t+T) = a_0 + \sum_{n=1}^\infty a_n \cos(n\omega_0t) + b_n \sin(n\omega_0t)\\
			\omega_0 &= 2\pi f_0\\
			a_0 &= \frac{1}{T}\int_0^T f(t)\, dt\\
			a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\
			b_n &= \frac{2}{T}\int_0^T f(t)\sin(n\omega_0t)\, dt\\

			\end{align}
			</math>


			If odd function, <math>a_n = 0</math>

			If even function, <math>b_n = 0</math>



			Now that we have the basic equations for a Fourier Series we can begin to calculate for the spring dampener system.

2010-11-01T06:32:53Z

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AH HA HA HA HA! RABBIT RABBIT!!!!