What is Linkage: Definition and 99 Discussions

A mechanical linkage is an assembly of bodies connected to manage forces and movement. The movement of a body, or link, is studied using geometry so the link is considered to be rigid. The connections between links are modeled as providing ideal movement, pure rotation or sliding for example, and are called joints. A linkage modeled as a network of rigid links and ideal joints is called a kinematic chain.
Linkages may be constructed from open chains, closed chains, or a combination of open and closed chains. Each link in a chain is connected by a joint to one or more other links. Thus, a kinematic chain can be modeled as a graph in which the links are paths and the joints are vertices, which is called a linkage graph.

The movement of an ideal joint is generally associated with a subgroup of the group of Euclidean displacements. The number of parameters in the subgroup is called the degrees of freedom (DOF) of the joint.
Mechanical linkages are usually designed to transform a given input force and movement into a desired output force and movement. The ratio of the output force to the input force is known as the mechanical advantage of the linkage, while the ratio of the input speed to the output speed is known as the speed ratio. The speed ratio and mechanical advantage are defined so they yield the same number in an ideal linkage.
A kinematic chain, in which one link is fixed or stationary, is called a mechanism, and a linkage designed to be stationary is called a structure.

View More On Wikipedia.org
Recent contents Top users
  1. gracy

    Why Is There No Recombination in the F1 Generation?

    my question is why there is not any recombination in F1 generation?
  2. E

    Hierarchical Clustering: Ward linkage

    Hi there! The Ward linkage method in agglomerative hierarchical clustering computes the distance between two clusters using the within-group variance, which results in a weighted squared distance between cluster centers. Therefore, Ward linkage method doesn't rely on the distances of single...
  3. M

    Flux linkage in terms of a straight conductor

    Taken from wikipedia, "If several turns of the wire are made, this becomes where N is the number of turns..." when speaking in terms of flux linkage and coils of a wire. However, in terms of a straight conductor (e.g. transmission lines), flux linkage for a meter long straight conductor has...
  4. B

    Instantaneous centre of four bar linkage

    Homework Statement Hi i need some help in calculating the instantaneous center of a four bar linkage, frame:507cm, rocker:305cm, crank:136cm and coupler:406cm. Homework EquationsThe Attempt at a Solution I've used a four bar simulator but I'm sure if what is shown is the plot of the center.
  5. L

    4 bar linkage and instantaneous centers help

    We are to pick any 4 bar mechanism, fix one point and plot its movement/the movement of the instantaneous centre. So far I've been trying to do this by using Freudensteins equations, but I'm not sure if I'm on the right track. The pdf document that I've been using can be found...
  6. J

    Interpretation for voltage and flux linkage

    The interpretation for charge and current through of a circuit is known... "the current is the motion of the charges, electrons, that is repulsed by negative pole and attracted by positive pole through of a conducting wire...". Ok... But what is the explanation for flux linkage and voltage...
  7. M

    A graphical linkage synthesis question

    Hi, all. Can anyone who use or used explain the difference between examples in Norton's machinery books in chapter on graphical linkage synthesis, one is a rocker output-two positions with complex displacement and the other is coupler output-two positions with complex displacement.
  8. E

    How to Design a 4 Bar Linkage Claw for Underwater Use?

    Hello All, I am working on a final project for class, and I am trying to design a bar linkage claw design like the one I have attached. I have also attached my attempt to design the length, and where the base pins are supposed to go for the desired start and finish position, open and...
  9. M

    Calculating Flux Linkage in a Rotating Rectangular Coil

    1. A flat rectangular coil measuring 2cm x 3cm and having 60 tuns of wire is turned through 90 degrees in 0.2s. The flux density of the magnetic field is 0.30T. Please note that a diagram is also provided - basically the coil is first perpendicular to the field, then it's rotated so as to become...
  10. M

    Mechanical Linkage Statics Problem

    Hi guys, I've been trying to resolve the following problem but have worked myself into a frenzy and would appreciate some guidance on how to proceed but also to set my mind completely clear. The problem is to find the load torque around the fixed pin joint arising from the piston force F_p...
  11. P

    Analytical Vector methods for a four bar linkage

    Homework Statement In a four bar linkage r0=30mm, r1=10mm, r2=35mm, r3=20mm and theta1=45 degrees. Calculate theta2, theta3, Vc, W2, and W3 assuming that W1=30 rad/s ccw. Homework Equations R1*costheta1 + R2*costheta2 - R3*costheta3 - R0*costheta0 = 0 (3-x) R1*sintheta1 +...
  12. G

    Does Average Linkage satisfy the properties of metric space?

    Homework Statement A dissimilarity measure d(x, y) for two data points x and y typically satisfy the following three properties: 1. d(x, y) ≥ 0 and d(x, y) = 0 if and only if x = y 2. d(x, y) = d(y, x) 3. d(x,z) ≤ d(x, y) + d(y,z)The following method has been proposed for measuring the...
  13. T

    Transformer, flux linkage and emf short question

    http://www.xtremepapers.com/papers/CIE/Cambridge%20International%20A%20and%20AS%20Level/Physics%20%289702%29/9702_s05_qp_4.pdfHomework Statement 6b Homework Equations flux linkage = BA B=F/iL The Attempt at a Solution from my understanding, if B=F/iL , if the current is zero...
  14. S

    Independent parameters of a four bar linkage

    Hi all, I'm performing an optimization of a mechanism composed of several planar four-bar linkage. I'm at a standstill in understanding which are the independent parameters for tracing a four-bar linkage mechanism in a specific configuration. Looking at this picture In my hopinion, the...
  15. K

    What mistakes may be causing discrepancies in the solution for the force P?

    Homework Statement The linkage ABD is formed by connecting two 8.05-lb bars and a collar of negligible weight. The motion of the linkage is controlled by the force applied to the collar. Knowing that a tthe instant shown the angular velocity and angular acceleration of bar B are zero and 10...
  16. Femme_physics

    4 bar linkage gripper compared to other grippersadvantages/disadvantages

    I'm trying to figure out info about 4 bar linkage.. I've ended up reading some technical info but nothing specific about parameters I need for a project like accuracy, reliability, cost.. etc. compared to other gripper mechanics (like parallel guidance and angular grip) Does anyone have...
  17. S

    Ester linkage and alkene cracking

    in an ester is the ester link/bond the -COO-? meaning does it include the C=O in the ester linkage. i would think so as something else would mean the functional group is different. However, i am not entirely sure as my textbook just brakets the C-O as the ester bond. Also, can alkenes such...
  18. K

    How can I find the number of turns in a solenoid winding?

    A 30mH solenoid inductor is wound on a form 0.4 m in length and 0.1 m in diameter. A coil is tightly wound around the solenoid at its center. the coil resistance is 5.0 ohms. The mutual inductance of the coil and solenoid is 60μH. At a given instant, the current in the solenoid is 0.3A and is...
  19. L

    Flux Linkage - what, where, why?

    Hi, we have been doing lots of work recently on magnets. we have learned about the ideas of flux, and using them to describe induction and how transformers work etc. i feel that i understand quite well about these ideas, but now i have come across this idea of 'flux linkage'. i do not...
  20. R

    Mechanical Advantage of a four bar linkage.

    I'm doing a project outside of school and I need some help with the mechanical advantage of a four bar linkage. Ideally I want to have a torsion spring attached to the frontward most arm so that I can load the linkage and have it fling forwards. I want to use a servo to load the spring which i...
  21. G

    Resources for understanding haplotype blocks and linkage disequilibrium?

    Does anyone know of any good resources online of where I can get clear and simple explanations on this subject? I don't want to read journal articles about this or want websites with heavy duty math since I don't have time to go through all of that right now in that kind of depth. I just want...
  22. S

    Scissor linkage: dynamic analysis

    Hi guys, I have a scissor linkage and I should calculate the force F for keeping the system in equilibrium in a specific position. The force must be applied in the the middle joint as you can see in the following picture: http://imageshack.us/photo/my-images/810/scissordisegno.png/ L...
  23. S

    Could Black Holes Actually Be Wormholes Into Other Universes?

    Here's an idea I came up with recently, that I wanted to share: No true black holes exist. Every "apparent" event horizon is really a separation of two universes, where the outside universe is entangled geometrically with the inside universe. The Hubble volume is sitting inside of an...
  24. F

    How Can I Accurately Draw a Velocity Diagram Without Measurements?

    Homework Statement To draw the velocity diagram. All information is in the attachment. i don't actually have any measuremnets, as they will be given in the lab, but I am struggling with one link. Homework Equations no needed The Attempt at a Solution in the attachment, i know its not...
  25. 1

    Flux Linkage through two coils

    1. Coil 1 has an inductance of 4.50×10-2 H and 140 turns. Coil 2 has an inductance of 8.00×10^-2 H and 230 turns. The coils are rigidly positioned with respect to each other, their mutual inductance is 5.00×10^-3 H. A 7.00×10^-3 A current in coil 1 is changing at a rate of 7.0 A/s. What flux...
  26. C

    Mech Engineering Four-Bar Linkage Angle Question

    Homework Statement I have a design problem where I have to design a crank rocker and find all the angles. I have already chosen my sides. The crank will move in increments of 30* up until 360. Homework Equations **Please see the attachments The Attempt at a Solution I have plugged in my...
  27. S

    Flux linkage vs. flux, Faraday's/Lenz's Law

    Homework Statement In my power engineering class we've been going over basic electromagnetism. I need some help understanding Faraday's/Lenz's law. As far as I understand, it is v(t) = d(lambda)/dt where v(t) is voltage and lambda is flux linkage. My question is, how do I find...
  28. M

    Finding PDF of Link B for 2-Bar Linkage

    Any help is appreciated on this: This is the projection on the x-axis of a 2-bar linkage. I need to find the PDF of the end of the second link (point B) 1. Link C of length rC is pinned at the origin and its other end is pinned to link B at point C. Its length projected on the x-axis is...
  29. frazelle09

    Solar trough water heater motor linkage

    We are trying to build a solar water heater using a 4' x 10' trough design and are still trying to figure out how to rotate the trough so that it follows the daily sun East-West. We have a 12 volt car window motor and someone else has suggested we use a simple, 3.6 volt electric screwdriver...
  30. N

    Need help with an acceleration diagram for a 4-bar linkage

    Hello to all, especially (hopefully) you math/engineering nerds out there: I have a question about an acceleration/mechanism diagram i have to draw. I've attached a picture. I'm trying to complete the acceleration diagram, and it's got me too confused. On the left is the mechanism as it would be...
  31. B

    Why is My 4 Bar Linkage Animation Code Causing the Coupler Link to Stretch?

    I know there are programs out there that can do this already, but I want to keep sharp on my programming skills. All I want to do is animate a grashof 4 bar mechanism. The program I wrote does this correctly for the most part. The problem is that when the crank gets around to around -45...
  32. I

    Kinematics of a linkage system of 4 bars

    Homework Statement Tabulate and plot the angular position, velocity and acceleration of θ4 for t=0 to t=10 in increments of 0.1 r1= 30 mm r2 = 12 mm r3 = 39 mm r4 = 36 mm θ2 = 0.1t (radians) The Attempt at a Solution Well first I wrote this down: r1 = r2cos(θ2) +...
  33. G

    Kinematic equation for 4-bar linkage

    Looking For Help to derive the kinematic equation for the 4-bar linkage shown; (to find the angular position of the cylinder at different values of theta )
  34. I

    What Are Some Design Ideas for a 4 Bar Linkage Mechanism?

    Hallow friends I just finish to learn how to design 4 bar linkage Now I need to build a 4 bar linkage mechanism Because of this I search after mechanisms that work with 4 bar linkage Or an ideas to 4 bar linkage I will glad if anybody can help me
  35. J

    Electromagnetic Induction (Flux linkage)

    Apologies for numerous posts today, I'm trying to catch up from work I missed last term, and my uni is on holiday at the moment so can't get help from lecturers. I've been set the following which I think I've got correct, but not 100%. Am I right in calculating the area in m2? Homework...
  36. K

    Linkage analysis using intersection of three sphere

    Hello. I am creating an algorithm for finding the locations of nodes connected by rigid links. Some nodes in the system are constrained in place, and to one node (a *special* node), a displacement is applied. The algorithm should be able to determine the locations of the other nodes by...
  37. W

    Four bar linkage forward kinematics question

    Hi, this is my first post on this forum. I have a design for a machine with two mutually perpendicular revolute joints, i.e. a base, a hinged joint, an arm, a hinge perpendicular to the first joint, second arm.Using D-H forward kinematics I've got code working using 4*4 transformation...
  38. B

    Flux Linkage with a coil in a solenoid

    Homework Statement A solenoid of cross-sectional area 2*10^-4 m^2 and length 0.5m having 500 turns is to be used to produce a uniform magnetic field some distance close to the center of the solenoid. Find the current that must flow in the solenoid to produce a magnetic flux density of 3*10^-3...
  39. J

    Linkage to take shaft over top dead centre

    Hi, I have Two eccentric cams consisting of 100mm dia disks with a shaft hole 15mm off centre. They are 400mm apart & I wish to rotate them together using two pneumatic cylinders each placed on either side of one disk. They are anchored at one end & have a pivot eye at the other. Each...
  40. Y

    Does Linkage Matter in a Cross of Truebreeding Recessives?

    Just a simple question, if I got two genes with 2 recessive mutants, let say the wildtype A and B with mutants a and b. And I cross truebreeding mutants (AA bb, aa BB), linkage, in this situation, doesn't matter, I'll get Aa Bb anyway, am I right ?
  41. S

    Biology Genetics - independent assortment and linkage

    Homework Statement In a testcross in D. melanogaster, the female heterozygote shv+/shv ; he+/h+e is crossed to a male from the homozygous recssive stock, shv/shv ; he/he. What proportion of the hairy-bodied flies has short veins? What event during meiosis causes this? How does the...
  42. T

    How Do You Calculate Recombination Frequency and Map Distance in Genetics?

    I would appreciate help with this problem, if at all possible! Homework Statement Snapdragons, homozygous for the recessive allele ls of the leaf form gene, have serrated leaves, the normal allele l+ is dominant and responsible for a smooth leaf phenotype. Individuals homozygous for the...
  43. J

    Can Both Ligands in Ru(phen)2(NCS)2 Bind via the Same Atom?

    [SOLVED] Linkage isomer in complexes I would like to ask a question on linkage isomer on complexes. Say, I have a complex Ru(phen)2(NCS)2. NCS can exhibit linkage isomer. Suppose I focus on linkage isomerism only, regardless of optical isomer or geometrical isomer. Surely, the complex can exist...
  44. D

    Linkage Disequilibrium in Genetics: Definition & Difference

    What is linkage disequilibrium in genetics? How is it different from linkage?
  45. S

    Understanding Flux Linkage: Exploring Examples & Confusions

    (N.B. All the following assumes that the magnetic fields are in vacuo). I'm having trouble deciding what flux linkage is (as in Faraday's law etc.). What is the proper definition? My textbook gives the example of a coil moving through a magnetic field, tracing out a cylinder - the flux...
  46. U

    How does genetic linkage affect testcross and recombination frequency?

    as the title suggest, i am confused when i read about "testcross" and linkage
  47. A

    What is the relationship between magnetic flux and EMF?

    Hi everyone, Apologise for so many questions within a short period of time. I'm in the midst of my holidays and I can't clarify my doubts in school. For a particular A.C generator, it has a large rotating rectanglar coil rotating at 50 rev per second in a B field strength of 0.29T. It has...
  48. M

    How to distinguish linkage and crossover?

    I really don't know how to distinguish beween 2 things, it's based on the ratio right? Thanks
  49. R

    What is a Four Bar Linkage and How is it Used in Machine Mechanisms?

    anybody knows about 4 bar linkage?? there's a crank and slider mechanism and i need help... i would like to know more about the crank slider and what is it made of?? what is that slider made of?? roller?? 2 bars and a square metal?? help! thanks alot...
Back
Top