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Watt's Linkage
A Watt's linkage is a type of mechanical linkage invented by James Watt in which the central moving point of the linkage is constrained to travel a nearly straight path. Watt's described the linkage in his patent specification of 1784 for the Watt steam engine. Today it is used in automobile suspensions, where it is key to a suspension's kinematics, i.e., its motion properties, constraining the vehicle axle's movement to nearly vertical travel while also limiting horizontal motion. Description Watt's linkage consists of three bars bolted together in a chain. The chain of bars consists of two end bars and a middle bar. The middle bar is bolted at each of its ends to one of the ends of each outer bar. The two outer bars are of equal length, and are longer than the middle bar. The three bars can pivot around the two bolts. The outer endpoints of the long bars are fixed in place relative to each other, but otherwise the three bars are free to pivot around the two joints where t ...
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Watts Parallel Motion Linkage
Watts is plural for ''watt'', the unit of power. Watts may also refer to: People * Watts (surname), a list of people with the surname Watts Fictional characters *Albie Watts, a fictional character in the British soap opera ''EastEnders'' * Angie Watts, a fictional character in the British soap opera ''EastEnders'' *Arthur Watts, a major antagonist in the animated web series ''RWBY'' * Chrissie Watts, a fictional character in the British soap opera ''EastEnders'' *Curly Watts, in the ITV soap opera ''Coronation Street'' *Den Watts, a fictional character in the British soap opera ''EastEnders'' * Peter Watts, in the TV series ''Millennium'' *Raquel Watts, in the ITV soap opera ''Coronation Street'' * Sharon Watts, a fictional character in the British soap opera ''EastEnders'' *Wade Owen Watts, protagonist in the novel '' Ready Player One'' and its film adaptation. *Watts, main character in the film '' Some Kind of Wonderful'' Places United Kingdom * Watts Bank, a nature reserve i ...
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Alstom Link Diameter 762mm FS075
Alstom SA () is a French Multinational corporation, multinational rolling stock manufacturer which operates worldwide in rail transport markets. It is active in the fields of passenger transportation, signaling, and locomotives, producing high-speed, suburban, regional and urban trains along with trams. The company and its name (originally spelled Alsthom) was formed by a merger between the electric engineering division of Société Alsacienne de Constructions Mécaniques (Als) and Thomson-Houston Electric Company#Compagnie Française Thomson-Houston, Compagnie Française Thomson-Houston (thom) in 1928. Significant acquisitions later included the Constructions Électriques de France (1932), shipbuilder Chantiers de l'Atlantique (1976), and parts of Ateliers de Constructions Electriques de Charleroi, ACEC (late 1980s). A merger with parts of the British General Electric Company formed GEC Alsthom in 1989. Throughout the 1990s, the company expanded its holdings in the rail sector, ...
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Crossness Pumping Station
Crossness Pumping Station is a former sewage pumping station designed by the architect Charles Henry Driver for the Metropolitan Board of Works's chief engineer Sir Joseph Bazalgette. It is located at Crossness Sewage Treatment Works, at the eastern end of the Southern Outfall Sewer and the Ridgeway path in the London Borough of Bexley. Constructed between 1859 and 1865 by William Webster, as part of Bazalgette's redevelopment of the London sewerage system, it features spectacular ornamental cast ironwork, described by architectural historian Nikolaus Pevsner as "a masterpiece of engineering – a Victorian cathedral of ironwork". It was decommissioned in 1956. Subsequently the building has been extensively restored and was opened to the public in 2016. It is adjacent to Erith Marshes, a grazing marsh, the northern part of which is designated as Crossness Nature Reserve. This provides a valuable habitat for creatures ranging from moths to small amphibians and water voles. ...
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Parallel Motion
Parallel may refer to: Mathematics * Parallel (geometry), two lines in the Euclidean plane which never intersect * Parallel (operator), mathematical operation named after the composition of electrical resistance in parallel circuits Science and engineering * Parallel (latitude), an imaginary east–west line circling a globe * Parallel of declination, used in astronomy * Parallel, a geometric term of location meaning "in the same direction" * Series and parallel circuits#Parallel circuits, Parallel electrical circuits Computing * Parallel (software), a UNIX utility for running programs in parallel Language * Parallelism (grammar), a balance of two or more similar words, phrases, or clauses * Parallelism (rhetoric) Entertainment * Parallel (manga), ''Parallel'' (manga) * Parallel (2018 film), ''Parallel'' (2018 film), a Canadian science fiction thriller film * Parallel (2024 film), ''Parallel'' (2024 film) an American science fiction thriller film * Parallel (video), ''P ...
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Double-acting Cylinder
In mechanical engineering, the Cylinder (engine), cylinders of reciprocating engines are often classified by whether they are single- or double-acting, depending on how the working fluid acts on the piston. Single-acting A single-acting cylinder in a reciprocating engine is a cylinder (engine), cylinder in which the working fluid acts on one side of the piston only. A single-acting cylinder relies on the load, springs, other cylinders, or the momentum of a flywheel, to push the piston back in the other direction. Single-acting cylinders are found in most kinds of reciprocating engine. They are almost universal in internal combustion engines (e.g. petrol engine, petrol and diesel engines) and are also used in many external combustion engines such as Stirling engines and some steam engines. They are also found in pumps and hydraulic cylinder, hydraulic rams. Double-acting A double-acting cylinder is a cylinder in which the working fluid acts alternately on both sides of the pi ...
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Chebyshev Linkage
In kinematics, Chebyshev's linkage is a four-bar linkage that converts rotational motion to approximate linear motion. It was invented by the 19th-century mathematician Pafnuty Chebyshev, who studied theoretical problems in kinematic Mechanism (engineering), mechanisms. One of the problems was the construction of a linkage that converts a rotary motion into an approximate straight-line motion (a straight line mechanism). This was also studied by James Watt in his improvements to the steam engine, which resulted in Watt's linkage.Cornell university
– Cross link straight-line mechanism


Equations of motion

The motion of the linkage can be constrained to an input angle that may be changed through velocities, forces, etc. The input angles can be either link ''L''2 with the horizontal or link ''L ...
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Straight Line Mechanism
A straight-line mechanism is a mechanism that converts any type of rotary or angular motion to perfect or near-perfect straight-line motion, or ''vice versa''. Straight-line motion is linear motion of definite length or "stroke", every forward stroke being followed by a return stroke, giving reciprocating motion. The first such mechanism, patented in 1784 by James Watt, produced approximate straight-line motion, referred to by Watt as parallel motion. Straight-line mechanisms are used in a variety of applications, such as engines, vehicle suspensions, walking robots, and rover wheels. History In the late eighteenth century, before the development of the planer and the milling machine, it was extremely difficult to machine straight, flat surfaces. During that era, much thought was given to the problem of attaining a straight-line motion, as this would allow the flat surfaces to be machined. To find a solution to the problem, the first straight-line mechanism was develop ...
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Hart's Inversor
Hart's inversors are two planar mechanisms that provide a perfect straight line motion using only rotary joints. They were invented and published by Harry Hart (mathematician), Harry Hart in 1874–5. Hart's first inversor Hart's first inversor, also known as ''Hart's W-frame'', is based on an antiparallelogram. The addition of fixed points and a driving arm make it a 6-bar linkage. It can be used to convert rotary motion to a perfect straight line by fixing a point on one short link and driving a point on another link in a circular arc. Rectilinear bar and quadruplanar inversors Hart's first inversor is demonstrated as a six-bar linkage with only a single point that travels in a straight line. This can be modified into an eight-bar linkage with a bar that travels in a rectilinear fashion, by taking the ground and input (shown as cyan in the animation), and appending it onto the original output. A further generalization by James Joseph Sylvester and Alfred Kempe extends th ...
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Peaucellier–Lipkin Linkage
The Peaucellier–Lipkin linkage (or Peaucellier–Lipkin cell, or Peaucellier–Lipkin inversor), invented in 1864, was the first true planar straight line mechanism – the first planar linkage capable of transforming rotary motion into perfect straight-line motion, and vice versa. It is named after Charles-Nicolas Peaucellier (1832–1913), a French army officer, and Yom Tov Lipman Lipkin (1846–1876), a Lithuanian Jew and son of the famed Rabbi Israel Salanter. Until this invention, no planar method existed of converting exact straight-line motion to circular motion, without reference guideways. In 1864, all power came from steam engines, which had a piston moving in a straight-line up and down a cylinder. This piston needed to keep a good seal with the cylinder in order to retain the driving medium, and not lose energy efficiency due to leaks. The piston does this by remaining perpendicular to the axis of the cylinder, retaining its straight-line mo ...
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Lemniscate Of Bernoulli
In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points and , known as foci, at distance from each other as the locus of points so that . The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is from , which is Latin for "decorated with hanging ribbons". It is a special case of the Cassini oval and is a rational algebraic curve of degree 4. This lemniscate was first described in 1694 by Jakob Bernoulli as a modification of an ellipse, which is the locus of points for which the sum of the distances to each of two fixed ''focal points'' is a constant. A Cassini oval, by contrast, is the locus of points for which the ''product'' of these distances is constant. In the case where the curve passes through the point midway between the foci, the oval is a lemniscate of Bernoulli. This curve can be obtained as the inverse transform of a hyperbola, with the inversion circle centered at the center of the hyperbola (bisect ...
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