Automotive How to find "equivalent stiffness" of the suspension system?

AI Thread Summary
To find the equivalent stiffness (k') and damping (c') of a suspension system, potential energy methods can be applied, combining spring energies while considering springs in series as resistors in parallel. The potential energy can be expressed as V=k(eq)*x^2, leading to a formulation involving k terms. Damping factors are often overlooked in stiffness calculations, complicating the integration of dampers into the analysis. An alternative approach involves creating a free body diagram (FBD) of the masses and applying Laplace transforms to derive transfer functions. Additional resources, such as supplemental notes on equivalent viscous damping, may provide further insights into the topic.
yunias
Messages
1
Reaction score
0
Dude i have a problem to find the equivalent stiffness (k') and damping (c') of this equation ? thank youvery much physics forum
 

Attachments

  • suspension system equivalent.PNG
    suspension system equivalent.PNG
    1.6 KB · Views: 541
  • suspension system.PNG
    suspension system.PNG
    1.6 KB · Views: 569
You may want to look into potential energy methods
 
You add up and combine all of the spring energies taking into account springs in series act like resistors in parallel, then you factor out your x or theta if its rotational isolating the stiffnesses. Potential energy V=k(eq)*x^2

You'll end up with something like V=( terms with k )*x^2
 
Not sure how to factor dampers into a stiffness i feel like they would be ignored

Only other thing i know to do is to write out the fbd of your masses and the middle section on the 2nd image, laplace transform the system equations and get the transfer functions but I'm not sure if that helps you
 

Thread 'Race car suspension Class'

Posted June 2024 - 15 years after starting this class. I have learned a whole lot. To get to the short course on making your stock car, late model, hobby stock E-mod handle, look at the index below. Read all posts on Roll Center, Jacking effect and Why does car drive straight to the wall when I gas it? Also read You really have two race cars. This will cover 90% of problems you have. Simply put, the car pushes going in and is loose coming out. You do not have enuff downforce on the right...
View full post »

Thread 'Cantilever help'

I'm trying to decide what size and type of galvanized steel I need for 2 cantilever extensions. The cantilever is 5 ft. The space between the two cantilever arms is a 17 ft Gap the center 7 ft of the 17 ft Gap we'll need to Bear approximately 17,000 lb spread evenly from the front of the cantilever to the back of the cantilever over 5 ft. I will put support beams across these cantilever arms to support the load evenly
View full post »
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
View full post »

Similar threads

Automotive Calculation of the reduced stiffness of a simple suspension
Replies
3
Views
2K
Automotive Factors Affecting Car Front Suspension: Height, Grip, and Stiffness Explained
Replies
1
Views
2K
How to solve spring mass damper system manually?
Replies
16
Views
3K
Help me understand how bolts take less load than members
Replies
5
Views
2K
Can adjustable torsion springs be used in suspension systems?
Replies
16
Views
6K
Automotive Stiffness and dumping coeficients of a VW Golf
Replies
3
Views
4K
Structure adding rotational stiffness to a plate
Replies
15
Views
2K
Differential Equations and Damper Curves
Replies
3
Views
2K
Engineering Total Lateral Stiffness from Stiffness Matrix
Replies
0
Views
1K
Automotive Mechanism to drive a wheel from an internal motor allowing suspension?
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top