Harmonic spring approximation: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
(New page: The '''Harmonic spring''' (also known as the '''Hookean spring''') approximation assumes that the spring obeys '''Hookes Law'', i.e. :<math>{\mathbf F} = -k {\mathbf x}</math> where ''F...)
 
No edit summary
 
Line 1: Line 1:
The '''Harmonic spring''' (also known as the '''Hookean spring''') approximation assumes that the  
The '''Harmonic spring''' (also known as the '''Hookean spring''') approximation assumes that the  
spring obeys '''Hookes Law'', i.e.
spring obeys ''Hookes Law'', i.e.


:<math>{\mathbf F} = -k {\mathbf x}</math>
:<math>{\mathbf F} = -k {\mathbf x}</math>

Latest revision as of 16:41, 30 July 2007

The Harmonic spring (also known as the Hookean spring) approximation assumes that the spring obeys Hookes Law, i.e.

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {\mathbf F} = -k {\mathbf x}}

where F is the force, x is the extension of the spring, and k is the spring constant.

This approximation is often used for chemical-bond stretching terms in various force fields:

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Phi_{str} (r_{12}) = \frac{1}{2} K_{str} ( r_{12} - b_0 )^2 }