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  2. Torsion spring - Wikipedia

    en.wikipedia.org/wiki/Torsion_spring

    The force of the spring reverses the direction of rotation, so the wheel oscillates back and forth, driven at the top by the clock's gears. Torsion springs consisting of twisted ropes or sinew, were used to store potential energy to power several types of ancient weapons; including the Greek ballista and the Roman scorpio and catapults like the ...

  3. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    External or with the Scilab/Matlab/Python interface. Possibility to perform complex slices. External (export to .vtk/.vtu and many others) ElmerGUI comes VTK based visualization tool (but Paraview is recommended) Yes, VTK-based GUI, Python visualizatuion library Buil-in simple plotting + External Built-in with optional Plotly and GMV export

  4. Mass-spring-damper model - Wikipedia

    en.wikipedia.org/wiki/Mass-spring-damper_model

    The mass-spring-damper model consists of discrete mass nodes distributed throughout an object and interconnected via a network of springs and dampers. This model is well-suited for modelling object with complex material properties such as nonlinearity and viscoelasticity .

  5. OpenSees - Wikipedia

    en.wikipedia.org/wiki/OpenSees

    OpenSees (the Open System for Earthquake Engineering Simulation) is an object-oriented software framework created during the National Science Foundation-sponsored era (1997-2007) of the Pacific Earthquake Engineering Research Center.

  6. Series and parallel springs - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_springs

    The following table gives formula for the spring that is equivalent to a system of two springs, in series or in parallel, whose spring constants are and . [1] The compliance c {\displaystyle c} of a spring is the reciprocal 1 / k {\displaystyle 1/k} of its spring constant.)

  7. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    Noting that any identity matrix is a rotation matrix, and that matrix multiplication is associative, we may summarize all these properties by saying that the n × n rotation matrices form a group, which for n > 2 is non-abelian, called a special orthogonal group, and denoted by SO(n), SO(n,R), SO n, or SO n (R), the group of n × n rotation ...

  8. Euler–Bernoulli beam theory - Wikipedia

    en.wikipedia.org/wiki/Euler–Bernoulli_beam_theory

    The curve () describes the deflection of the beam in the direction at some position (recall that the beam is modeled as a one-dimensional object). is a distributed load, in other words a force per unit length (analogous to pressure being a force per area); it may be a function of , , or other variables.

  9. Langevin dynamics - Wikipedia

    en.wikipedia.org/wiki/Langevin_dynamics

    The Langevin equation can be generalized to rotational dynamics of molecules, Brownian particles, etc. A standard (according to NIST [ 5 ] ) way to do it is to leverage a quaternion -based description of the stochastic rotational motion.