Category:Simple Linear Waves - Revision history

Skim178: /* Waves on a variable density string / waves on variable depth shallow water */

2009-09-23T16:52:37Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:52, 23 September 2009
Line 9:		Line 9:

	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	~~<math>JJ=\phi''(y)-\alpha^{2}\phi(y)+\frac{U''(y)}{U''(y)-c}\phi(y)</math>~~

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:52:04Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:52, 23 September 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	<math>JJ=\phi''-\alpha^{2}\phi+\frac{U''}{U''-c}\phi</math>		<math>JJ=\phi''(y)-\alpha^{2}\phi(y)+\frac{U''(y)}{U''(y)-c}\phi(y)</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:50:54Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:50, 23 September 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	<math>JJ=\phi''-\alpha^{2}\phi+\~~dfrac~~{U''}{U''-c}\phi</math>		<math>JJ=\phi''-\alpha^{2}\phi+\frac{U''}{U''-c}\phi</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:50:43Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:50, 23 September 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	<math>JJ=\phi''-\alpha^{2}\phi+\~~tfrac~~{U''}{U''-c}\phi</math>		<math>JJ=\phi''-\alpha^{2}\phi+\dfrac{U''}{U''-c}\phi</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:50:29Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:50, 23 September 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	<math>$\phi$</math>		<math>JJ=\phi''-\alpha^{2}\phi+\tfrac{U''}{U''-c}\phi</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:47:56Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:47, 23 September 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	<math>$phi$</math>		<math>$\phi$</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-09-23T16:47:32Z

Waves on a variable density string / waves on variable depth shallow water

← Older revision		Revision as of 16:47, 23 September 2009
Line 9:		Line 9:

	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

			<math>$phi$</math>

	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

2009-07-17T01:35:30Z

← Older revision		Revision as of 01:35, 17 July 2009
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	The solution for this is discuss in [[Waves on a Variable Beam]]		The solution for this is discuss in [[Waves on a Variable Beam]]

			[[Category:Simple Waves]]

2009-04-07T07:53:36Z

Waves on a Variable Beam

← Older revision		Revision as of 07:53, 7 April 2009
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	== Waves on a Variable Beam ==		== Waves on a Variable Beam ==

	[[Waves on a Variable Beam]]		{{equations for a beam}}

			The solution for this is discuss in [[Waves on a Variable Beam]]

2009-04-07T07:52:41Z

Variable Beam equation

← Older revision		Revision as of 07:52, 7 April 2009
Line 10:		Line 10:
	The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].		The problem on waves on a string of variable density is closely related to [[Category:Shallow Depth\|Shallow Depth]] water wave equation and is discussed in detail in [[Variable Depth Shallow Water Wave Equation]].

	== Variable Beam ~~equation~~ ==		== Waves on a Variable Beam ==

	[[Waves on a Variable Beam]]		[[Waves on a Variable Beam]]