How Does Adding a Damper Affect the Stiffness of Springs in Parallel?

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SUMMARY

Adding a damper in parallel with springs affects the overall stiffness and impedance of the system. The total stiffness for springs in parallel is calculated using the formula 1/k(total) = 1/k1 + 1/k2, while the total impedance in the Laplace domain is represented as k + sc, where k is the spring coefficient and c is the damper coefficient. This configuration is relevant in the study of damped harmonic oscillators, which can be further explored in the provided Wikipedia link.

PREREQUISITES
  • Understanding of spring mechanics and stiffness calculations
  • Familiarity with damping concepts in mechanical systems
  • Knowledge of Laplace transforms and their application in system analysis
  • Basic principles of harmonic oscillators
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  • Study the principles of damped harmonic oscillators in detail
  • Learn about the application of Laplace transforms in mechanical systems
  • Explore the effects of different damping coefficients on system behavior
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Mechanical engineers, physics students, and anyone interested in the dynamics of spring-damper systems and their applications in real-world scenarios.

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Hey guys,

I was just wanting to know, if there is a special way to add a damper in spring in parallel (as per the image below).

i know that springs in parallel is; 1/k(total) = 1/k1 + 1/k2...
 

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Put the spring in a viscous medium.
Actually any real spring is a little bit like that.
 
spring coeff: k
damper coeff: c

total impedance is k + sc

in laplace domain
 

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