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  2. Degrees of freedom (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom_(mechanics)

    A single rigid body has at most six degrees of freedom (6 DOF) 3T3R consisting of three translations 3T and three rotations 3R. See also Euler angles. For example, the motion of a ship at sea has the six degrees of freedom of a rigid body, and is described as: [2] Translation and rotation: Walking (or surging): Moving forward and backward;

  3. Degrees of freedom (physics and chemistry) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom_(physics...

    In physics and chemistry, a degree of freedom is an independent physical parameter in the chosen parameterization of a physical system.More formally, given a parameterization of a physical system, the number of degrees of freedom is the smallest number of parameters whose values need to be known in order to always be possible to determine the values of all parameters in the chosen ...

  4. Direct stiffness method - Wikipedia

    en.wikipedia.org/wiki/Direct_stiffness_method

    After inserting the known value for each degree of freedom, the master stiffness equation is complete and ready to be evaluated. There are several different methods available for evaluating a matrix equation including but not limited to Cholesky decomposition and the brute force evaluation of systems of equations.

  5. Gibbs–Duhem equation - Wikipedia

    en.wikipedia.org/wiki/Gibbs–Duhem_equation

    For a simple system with different components, there will be + independent parameters or "degrees of freedom". For example, if we know a gas cylinder filled with pure nitrogen is at room temperature (298 K) and 25 MPa, we can determine the fluid density (258 kg/m 3 ), enthalpy (272 kJ/kg), entropy (5.07 kJ/kg⋅K) or any other intensive ...

  6. Degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom

    In many scientific fields, the degrees of freedom of a system is the number of parameters of the system that may vary independently. For example, a point in the plane has two degrees of freedom for translation: its two coordinates; a non-infinitesimal object on the plane might have additional degrees of freedoms related to its orientation.

  7. Phase space - Wikipedia

    en.wikipedia.org/wiki/Phase_space

    For simple systems, there may be as few as one or two degrees of freedom. One degree of freedom occurs when one has an autonomous ordinary differential equation in a single variable, / = (), with the resulting one-dimensional system being called a phase line, and the qualitative behaviour of the system being immediately visible from the phase line.

  8. Chebychev–Grübler–Kutzbach criterion - Wikipedia

    en.wikipedia.org/wiki/Chebychev–Grübler...

    An example of a simple open chain is a serial robot manipulator. These robotic systems are constructed from a series of links connected by six one degree-of-freedom revolute or prismatic joints, so the system has six degrees of freedom. An example of a simple closed chain is the RSSR spatial four-bar linkage.

  9. Degree of freedom (mechanics) - Wikipedia

    en.wikipedia.org/?title=Degree_of_freedom...

    Pages for logged out editors learn more. Contributions; Talk; Degree of freedom (mechanics)