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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. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    For example, in 2-space n = 2, a rotation by angle θ has eigenvalues λ = e iθ and λ = e −iθ, so there is no axis of rotation except when θ = 0, the case of the null rotation. In 3-space n = 3, the axis of a non-null proper rotation is always a unique line, and a rotation around this axis by angle θ has eigenvalues λ = 1, e iθ, e −iθ.

  5. Mass-spring-damper model - Wikipedia

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

    Classic model used for deriving the equations of a 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.

  6. OpenSees - Wikipedia

    en.wikipedia.org/wiki/OpenSees

    Prior to taking on the name "OpenSees," the framework was simply called "G3" in reference to the name of the PEER research group tasked with simulation development. The doctoral thesis of Frank McKenna on parallel object-oriented structural analysis formed the basis for "G3." The current version as of March 2024 is 3.6.0.

  7. 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.

  8. 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.)

  9. Campbell diagram - Wikipedia

    en.wikipedia.org/wiki/Campbell_diagram

    In rotordynamical systems, the eigenfrequencies often depend on the rotation rates due to the induced gyroscopic effects or variable hydrodynamic conditions in fluid bearings. It might represent the following cases: Campbell Diagram of a steam turbine. Analysis shows that there are well-damped critical speed at lower speed range.