Finite Element Method: Find Total Mass Matrix of Coupled Element

AI Thread Summary
To find the total mass matrix of two coupled flexible links connected by a revolute joint using the Finite Element Method, it is essential to define the mass matrices for each link. The mass matrix for link 1 (M1) and link 2 (M2) are provided, detailing their respective states, including joint angles and flexural displacements. A recommended resource is an article that specifically addresses this topic, which can be found through a simple Google search. Understanding the relationship between the elements and their states is crucial for accurately computing the total mass matrix. This approach will facilitate the analysis of the coupled flexible manipulator system.
S K
Messages
3
Reaction score
0
Does anyone know how to find the total mass matrix of two coupled element by using Finite Element Method?
 
Engineering news on Phys.org
You haven't been specific enough in your question. What kind of elements, and for what purpose?
 
Actually I am trying to find the total mass matrix of flexible two link which are coupled by revolute joint. The figure of two flexible links can be found in the following website.

https://www.google.com.au/search?q=...UICSgC&biw=1680&bih=930#imgrc=osAePmWFf2unEM:The mass matrix of link 1 is given by
M1=[m11 m12 m13 m14 m15 ;
m21 m22 m23 m24 m25 ;
m31 m32 m33 m34 m35 ;
m41 m33 m34 m44 m45 ;
m51 m52 m53 m54 m55 ];

theta1, w1, alpha1, w2, alpha2 are the states where theta1 is joint angle of link 1 w is flexural displacement and alpha is flexural slopeSimilarly, the mass matrix for link 2 is given by

M2=[M11 M12 M13 M14 M15 M16 M17 M18 ;
M21 M22 M23 M24 M25 M26 M27 M28 ;
M31 M32 M33 M34 M35 M36 M37 M38 ;
M41 M33 M34 M44 M45 M46 M47 M48 ;
M51 M52 M53 M54 M55 M56 M57 M58 ;
M61 M62 M63 M64 M65 M66 M67 M68 ;
M71 M72 M73 M74 M75 M76 M77 M78 ;
M81 M82 M83 M84 M85 M86 M87 M88 ]
Theta1, w2, alpha2, theta2, u2, phi2, u3, phi3 are the states for link 2.

So, anyone knows how to find the total mass matrix of the system?
 
I recommend taking a look at this article, it looks like it covers exactly what you want (and only required a simple Google search): http://www.colorado.edu/engineering/CAS/courses.d/MFEMD.d/MFEMD.Ch16.d/MFEMD.Ch16.pdf
 
Thank you very much
 

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

Finite element method approximation
Replies
0
Views
990
What's the Optimal Shape Function for Phase Field Simulations in FEM?
Replies
4
Views
1K
Existing work on finite element result analysis
Replies
8
Views
1K
Abuse of the Finite Element Method
Replies
9
Views
3K
The 8 Mode Shapes of a plane finite element
Replies
2
Views
1K
Finite Element Model of Euler-Bernoulli Beam Theory
Replies
1
Views
2K
Thermoelasticity problem with FEM in MATLAB
Replies
2
Views
1K
What size is the Global Stiffness Matrix in this Example?
Replies
3
Views
2K
How to apply divergence free (∇.v=0) in nodal finite element method?
Replies
3
Views
1K
Math vs. FE Method: Comparing Mechanical Engineering Focus
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top