Assur Group
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Assur Group
In kinematics, an Assur group is a kinematic chain with zero degree of mobility, which added or subtracted from a mechanism do not alter its original number of degrees of freedom. They have been first described by the Russian engineer (1878–1920) in 1914., The simplest of all Assur groups (also known as dyads) have two links and three joints, of which two are potential joints. Using an underscore "_" to indicate a guide following or preceding a slider in a translating (prismatic) joint, all possible dyadic isomers will be: RRR, RR_T, RRT_, RT_R, T_R_T, T_RT_, _TRT_, R_T_T, R_T_T, RT_T_, R_TT_ and RT__T. Higher order Assur groups are known such as simple and multiple triads, simple and multiple thertad, pentad hexad etc. When an Assur group is connected to the same link, zero degree-of-freedom entities known as Baranov trusses are obtained. MechDesigner from PSMotion, OSMEC from ESDU and MeKin2D are software programs known to use Assur group/modular approach for the moti ...
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Kinematics
Kinematics is a subfield of physics, developed in classical mechanics, that describes the Motion (physics), motion of points, Physical object, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system. Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics (physics), kinetics, not kinematics. For further details, see analytical dynamics. Kinematics is used in astrophysics to describe the motion of celestial bodies and collections of such bodies. In mechanical engin ...
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Kinematic Chain
In mechanical engineering, a kinematic chain is an assembly of rigid bodies connected by joints to provide constrained (or desired) motion that is the mathematical model for a mechanical system. Reuleaux, F., 187''The Kinematics of Machinery,''(trans. and annotated by A. B. W. Kennedy), reprinted by Dover, New York (1963) As in the familiar use of the word chain, the rigid bodies, or links, are constrained by their connections to other links. An example is the simple open chain formed by links connected in series, like the usual chain, which is the kinematic model for a typical robot manipulator.J. M. McCarthy and G. S. Soh, 2010''Geometric Design of Linkages,''Springer, New York. Mathematical models of the connections, or joints, between two links are termed kinematic pairs. Kinematic pairs model the hinged and sliding joints fundamental to robotics, often called ''lower pairs'' and the surface contact joints critical to cams and gearing, called ''higher pairs.'' These ...
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Overconstrained Mechanism
In mechanical engineering, an overconstrained mechanism is a linkage that has more degrees of freedom than is predicted by the mobility formula. The mobility formula evaluates the degree of freedom of a system of rigid bodies that results when constraints are imposed in the form of joints between the links. If the links of the system move in three-dimensional space, then the mobility formula is : M=6(N-1-j)+\sum_^j f_i, where is the number of links in the system, is the number of joints, and is the degree of freedom of the th joint. If the links in the system move planes parallel to a fixed plane, or in concentric spheres about a fixed point, then the mobility formula is : M=3(N-1-j)+\sum_^j f_i. If a system of links and joints has mobility or less, yet still moves, then it is called an ''overconstrained mechanism''. Reason of over-constraint The reason of over-constraint is the unique geometry of linkages in these mechanisms, which the mobility formula does not take i ...
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Mechanism (engineering)
In engineering, a mechanism is a Machine, device that transforms input forces and movement into a desired set of output forces and movement. Mechanisms generally consist of moving components which may include: * Gears and gear trains; * belt drive, Belts and chain drives; * Cams and cam follower, followers; * Linkage (mechanical), Linkages; * Friction devices, such as brakes or clutches; * Structural components such as a frame, fasteners, bearings, springs, or lubricants; * Various machine elements, such as splines, pins, or keys. The German scientist Franz Reuleaux defines ''machine'' as "a combination of resistant bodies so arranged that by their means the mechanical forces of nature can be compelled to do work accompanied by certain determinate motion". In this context, his use of ''machine'' is generally interpreted to mean ''mechanism''. The combination of force and movement defines Power (physics), power, and a mechanism manages power to achieve a desired set of forces and ...
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Degrees Of Freedom (mechanics)
In physics, the degrees of freedom (DOF) of a mechanical system is the number of independent parameters that define its configuration or state. It is important in the analysis of systems of bodies in mechanical engineering, structural engineering, aerospace engineering, robotics, and other fields. The position of a single railcar (engine) moving along a track has one degree of freedom because the position of the car is defined by the distance along the track. A train of rigid cars connected by hinges to an engine still has only one degree of freedom because the positions of the cars behind the engine are constrained by the shape of the track. An automobile with highly stiff suspension can be considered to be a rigid body traveling on a plane (a flat, two-dimensional space). This body has three independent degrees of freedom consisting of two components of translation and one angle of rotation. Skidding or drifting is a good example of an automobile's three independent degrees ...
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Kinematic Pair
In classical mechanics, a kinematic pair is a connection between two physical objects that imposes constraints on their relative movement (kinematics). German engineer Franz Reuleaux introduced the kinematic pair as a new approach to the study of machines that provided an advance over the motion of elements consisting of simple machines. Description Kinematics is the branch of classical mechanics which describes the motion of points, bodies (objects) and systems of bodies (groups of objects) without consideration of the causes of motion. Kinematics as a field of study is often referred to as the "geometry of motion". For further detail, see Kinematics. Hartenberg & Denavit presents the definition of a kinematic pair: In the matter of connections between rigid bodies, Reuleaux recognized two kinds; he called them higher and lower pairs (of elements). With higher pairs, the two elements are in contact at a point or along a line, as in a ball bearing or disk cam and follower; t ...
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Prismatic Joint
A prismatic joint is a one- degree-of-freedom kinematic pair which constrains the motion of two bodies to sliding along a common axis, without rotation; for this reason it is often called a slider (as in the slider-crank linkage) or a sliding pair. They are often utilized in hydraulic and pneumatic cylinders. A prismatic joint can be formed with a polygonal cross-section to resist rotation. See for example the dovetail joint and linear bearings. See also * Cylindrical joint * Degrees of freedom (mechanics) * Kinematic pair * Kinematics * Mechanical joint * Revolute joint A revolute joint (also called pin joint or hinge joint) is a one- degree-of-freedom kinematic pair used frequently in mechanisms and machines. The joint constrains the motion of two bodies to pure rotation along a common axis. The joint does ... References Kinematics Rigid bodies {{classicalmechanics-stub ...
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Baranov Truss
Baranov (masculine) or Baranova (feminine) (russian: Баранов, Баранова) is a common Russian surname. It is derived from the sobriquet ''"баран"'' (argali, lamb). Notable people with the surname include: * Alexander Andreyevich Baranov (1747–1819), first governor of Russian Alaska *Alexander Ivanovich Baranov (born 1946), Russian Army Colonel General *Alyaksandr Baranaw (born 1974), Belarusian footballer *Anastasia Baranova (born 1989), Russian American actress *Elena Baranova (born 1972), Kyrgyzstan-born professional basketball player in America * Fedor I. Baranov (1886–1965), Russian fisheries scientist * Konstantin Baranov (born 1982), Russian ice hockey player * Lyubov Baranova (1929–2015), Soviet cross-country skier * Matwai Baranov (born 1965), Israeli Olympic wrestler *Natalya Baranova-Masalkina (born 1975), Russian cross-country skier *Nikita Baranov (born 1992), Estonian footballer * Nikolay Baranov (born 1960), Soviet sprint canoer *Nikolay Ilyich ...
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ESDU
ESDU (originally an acronym of "Engineering Sciences Data Unit" but now used on its own account) is an engineering advisory organisation based in the United Kingdom. Profile ESDU provides validated engineering analysis tools to engineers and teachers in the aerospace engineering, process engineering and structural engineering fields. The tools include methodologies, design guides, equations and software, and are accompanied by an advisory service that enables engineers to discuss their requirements and data application directly with ESDU staff. ESDU's engineering staff are assisted and guided in their work by independent committees of specialists drawn from industry and academia worldwide. They are responsible for ensuring the technical quality of the work and for presenting the data in a clear, concise, authoritative manner. They also determine the future direction of the work, taking into account the views of users. Engineering topics covered The services offered by ESDU co ...
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Higher Order Assur
Higher may refer to: Music * The Higher, a 2002–2012 American pop rock band Albums * ''Higher'' (Ala Boratyn album) or the title song, 2007 * ''Higher'' (Ezio album) or the title song, 2000 * ''Higher'' (Harem Scarem album) or the title song, 2003 * ''Higher'' (The Horrors album), 2012 * ''Higher'' (Life On Planet 9 album) or the title song, 2017 * ''Higher'' (Michael Bublé album) or the title song, 2022 * ''Higher'' (The Overtones album) or the title song, 2012 * ''Higher'' (Regina Belle album) or the title song, 2012 * ''Higher'' (Roch Voisine album) or the title song, 2002 * ''Higher'' (Treponem Pal album), 1997 * ''Higher'', by Abundant Life Ministries, 2000 * ''Higher'', by ReinXeed, 2009 * ''Higher'', by Russell Robertson, 2008 * ''Higher!'', by Sly and the Family Stone, 2013 * ''Higher'', a mixtape by Remy Banks, 2015 Songs * "Higher" (Clean Bandit song), 2021 * "Higher" (Creed song), 1999 * "Higher" (Deborah Cox song), 2013 * "Higher" (DJ Khaled song), 2 ...
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Kinematics
Kinematics is a subfield of physics, developed in classical mechanics, that describes the Motion (physics), motion of points, Physical object, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move. Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system. Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics (physics), kinetics, not kinematics. For further details, see analytical dynamics. Kinematics is used in astrophysics to describe the motion of celestial bodies and collections of such bodies. In mechanical engin ...
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