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  2. Force-directed graph drawing - Wikipedia

    en.wikipedia.org/wiki/Force-directed_graph_drawing

    Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...

  3. File:On Physical Lines of Force.pdf - Wikipedia

    en.wikipedia.org/wiki/File:On_Physical_Lines_of...

    The following 3 pages use this file: Displacement current; ... File talk:On Physical Lines of Force.pdf; Global file usage. ... Version of PDF format: 1.4: Page size:

  4. Newmark-beta method - Wikipedia

    en.wikipedia.org/wiki/Newmark-beta_method

    here is the mass matrix, is the damping matrix, and are internal force per unit displacement and external forces, respectively. Using the extended mean value theorem , the Newmark- β {\displaystyle \beta } method states that the first time derivative (velocity in the equation of motion ) can be solved as,

  5. Direct stiffness method - Wikipedia

    en.wikipedia.org/wiki/Direct_stiffness_method

    The global displacement and force vectors each contain one entry for each degree of freedom in the structure. The element stiffness matrices are merged by augmenting or expanding each matrix in conformation to the global displacement and load vectors.

  6. Unit dummy force method - Wikipedia

    en.wikipedia.org/wiki/Unit_dummy_force_method

    The Unit dummy force method provides a convenient means for computing displacements in structural systems. It is applicable for both linear and non-linear material behaviours as well as for systems subject to environmental effects, and hence more general than Castigliano's second theorem .

  7. Generalized forces - Wikipedia

    en.wikipedia.org/wiki/Generalized_forces

    In the application of the principle of virtual work it is often convenient to obtain virtual displacements from the velocities of the system. For the n particle system, let the velocity of each particle P i be V i, then the virtual displacement δr i can also be written in the form [2] = = ˙, =, …,.

  8. File:Saw force-1.pdf - Wikipedia

    en.wikipedia.org/wiki/File:Saw_force-1.pdf

    Saw_force-1.pdf (368 × 262 pixels, file size: 54 KB, MIME type: application/pdf) This is a file from the Wikimedia Commons . Information from its description page there is shown below.

  9. Timoshenko–Ehrenfest beam theory - Wikipedia

    en.wikipedia.org/wiki/Timoshenko–Ehrenfest_beam...

    where (,,) are the coordinates of a point in the beam, ,, are the components of the displacement vector in the three coordinate directions, is the angle of rotation of the normal to the mid-surface of the beam, and is the displacement of the mid-surface in the -direction.