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Questions tagged [mechanism]

A mechanism, in engineering, is a device that transforms input forces and movement into a desired set of output forces and movement

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Problem with Lagrangian and Matrix Calculus in Mathematica

Continuing the questions: Lagrangian of three-mass system with Mathematica Equations of motion for two-mass torsional oscillator with the gear train Derivation of equations of motion for a multi-body ...
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Derivation of equations of motion for a multi-body system using Mathematica

I want to learn how to work with finite-element models in Mathematica to derive the equation of motion for rigid bodies. I can do this by compiling the Lagrangian of the system, then differentiating ...
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Equations of motion for two-mass torsional oscillator with the gear train

This is my first topic and I continue work on that: Lagrangian of three-mass system with Mathematica I found interesting problem here, and try reproduce results. Assumption: $d_1=0$ Algorithm: Write ...
dtn's user avatar
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I want to find the position of repeated values in a list, and then use them as a condition to evaluate afunction

My program recieves four inputs representing linkages in a 4-bars mechanism: Then it has to find the Largest and Smallest linkage and evaluate its sum against the other two: L+S<P+Q where L is the ...
Michel G's user avatar
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What is a good way to describe all kinds of basic equations in elasticity by tensor [duplicate]

I see here that we can use tensors to represent the fundamental equations in elasticity. But I don't know how to use the tensor operation in MMA to reproduce these equations. If you can, please ...
A little mouse on the pampas's user avatar
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On drawing Mohr's circle of spatial stress state with direction vector parameters l and m as parameters

The figure below shows the micro tetrahedron in an elastic body in equilibrium: In the textbook, I see the expressions of normal stress($\sigma_{v}$) and shear stress($\tau_{v}$) on the differential ...
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Package code problems with Mechanical Involute Gears

I've been playing around with with the old library archived package "Mechanical Involute Gears" The package has some broken things, namely those having to do with utf8 and a ...
DrMrstheMonarch's user avatar
3 votes
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Lagrangian of three-mass system with Mathematica

Before proceeding to calculations in Mathematica, I would like to clarify with knowledgeable people. There is an ordinary linear three-mass system. If we write its Lagrangian, we get the following ...
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Manual control plots differ from StateResponse and OutputResponse

So In my quest to try to learn some control theory inspired by the following link, I have been modeling an inverse pendulum regulated with a flywheel. The system model is pretty ok I think, and when ...
DrMrstheMonarch's user avatar
2 votes
1 answer
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Make a involute gear

Quick question: Has anyone been able to make a involute gear with a simple code? I would like to have a 2D plot, but it is very difficult.
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Importing and animating images

I have three image files that make up a system similar to a mechanical arm. I wonder if it's possible to be created an assembly that I can import these images and use them in a way to generate an ...
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Tracing the line of motion of a point in graphics

I'm a beginner in mathematica. I'm making a nb that calculates the output angle of a fourbar mechanism based on the input angle. So the input is the length of the four linkages and the input angle of ...
Mahmoud Mousa's user avatar
3 votes
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Fourier cosine series of displacement

I'm trying to calculate a Fourier Cosine Series of displacement for general 4-bar mechanism. My code not working. I don't understand why. I need the result as this form ...
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1 answer
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Solving 2-D Mechanical Systems

I'm trying to use Mathematica to solve a particular 2-d mechanical system. The system comes from "DESIGN AND OPTIMIZATION OF AN EIGHT-BAR LEGGED WALKING MECHANISM IMITATING A KINETIC SCULPTURE, “WIND ...
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Building an arch in SystemModeler

I'm trying to learn SystemModeler and struggling a little... Building on the chain pendulum example from Wolfram, I've happily made a chain with revolute joints with spring/dampeners connecting the ...
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Simulating a quick return mechanism

Last time, I got a satisfying answer for simulating a toggle mechanism, just as expected. NDSolve is great. I tried playing with it (as a matter of fact, @MichaelE2 ...
Waffle's Crazy Peanut's user avatar