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Drafting pantograph in use Pantograph used for scaling a picture. The red shape is traced and enlarged. Pantograph 3d rendering. A pantograph (from Greek παντ- 'all, every' and γραφ- 'to write', from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical ...
This configuration is also called a pantograph, [2] [3] however, it is not to be confused with the parallelogram-copying linkage pantograph. The linkage can be a one-degree-of-freedom mechanism if two gears are attached to two links and are meshed together, forming a geared five-bar mechanism.
Burmester's approach to the synthesis of a four-bar linkage can be formulated mathematically by introducing coordinate transformations [T i] = [A i, d i], i = 1, ..., 5, where [A] is a 2×2 rotation matrix and d is a 2×1 translation vector, that define task positions of a moving frame M specified by the designer.
The construction of physical measuring and calculating devices including rulers, protractors, pantographs, planimeters, integrators, and slide rules [2] [3] Mechanical linkages, pantographs, four-bar linkages, and the problem of converting rotary to linear motion, solved by the Peaucellier–Lipkin linkage and by Hart's inversor [4] [5]
A horizontal pantograph maintains identical planar (X and Y axis) movement, with two degrees of freedom; An angled pantograph descending from the bridge maintains identical vertical (Z axis) movement; A torsion beam maintains identical pen fore-and-aft tilt; A parallel linkage maintains identical pen side-to-side tilt
In kinematics, the parallel motion linkage is a six-bar mechanical linkage invented by the Scottish engineer James Watt in 1784 for the double-acting Watt steam engine. It allows a rod moving practically straight up and down to transmit motion to a beam moving in an arc, without putting significant sideways strain on the rod.
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The Vertical Dyad Linkage Theory is a theory that deals with the individual dyadic relationships formed between leaders and their subordinates. [1] It is also widely known as The Leadership-Member Exchange (LMX) Theory. [2] Originally, the theory has been developed by Fred Dansereau, George Graen and William J. Haga, in 1975. [3]