Chebyshev Parallel Motion definition of Chebyshev Parallel Motion in the Free Online Encyclopedia.

Chebyshev Parallel Motion

a linkage, proposed by P. L. Chebyshev in 1868, such that some point on it describes a nearly straight line.

A straight-line mechanism, the Chebyshev parallel motion is a four-bar linkage ABCD (Figure 1) in which the lengths of the links satisfy the relation 3d – a = 2b. An increase in AB results in an increase in the length of the approximately rectilinear segment of the path traced by point M; at the same time, however, the deviation from a true straight line also increases.

Figure 1. Chebyshev parallel motion

When in middle position, the Chebyshev parallel motion shown by solid lines in Figure 1 is reminiscent of the Greek letter lambda (λ); for this reason, it is referred to as lambda shaped. Chebyshev also proposed the variant AB₁C₁D₁ which is shown in Figure 1 by broken lines. In this crossed-bar mechanism, the path of M coincides with the path of the same point in the lambda-shaped mechanism, and the lengths of the links satisfy the following relations: AB₁ = C_lD₁ = 2b, B₁C₁ – 2a, B_lM – a. and AD₁ = 2d. In another variant of the Chebyshev parallel motion, the angle between the lines CB and CM is not 180°.

Mentioned in	?		Encyclopedia browser	?		Full browser	?
No references found			cheapener cheapernet cheat cheat code Cheatham County Cheb Cheban, Tamara Cheban, Tamara Savelevna Chebar Chebarkul Cheboksarov, Nikolai Cheboksarov, Nikolai Nikolaevich Cheboksary Cheboksary Hydroelectric Power Plant Chebotarev, Aleksandr Chebotarev, Aleksandr Stepanovich Chebotarev, Nikolai Chebotarev, Nikolai Grigorevich Cheboygan County Cheboygan State Park Chebsara Chebyshev approximation Chebyshev filter Chebyshev Formula Chebyshev Inequality Chebyshev Parallel Motion Chebyshev Polynomials Chebyshev's differential equation Chebyshev's inequality Chebyshev, Pafnutii Chebyshev, Pafnutii Lvovich Chech Chechelnik Chechen Chechen Plain Chechen-Ingush Autonomous Soviet Socialist Republic Chechen-Ingush University Checheno-Ingush Republic Chechersk Chechnya Chechulin, Dmitrii Chechulin, Dmitrii Nikolaevich Chechulin, Nikolai Chechulin, Nikolai Dmitrievich Check check bit check bits check box check character check cracks check cross			Cheboksarov, Nikolai Cheboksarov, Nikolai Nikolaevich Cheboksary Cheboksary Cheboksary Cheboksary Hydroelectric Power Plant Chebotarev, Aleksandr Chebotarev, Aleksandr Stepanovich Chebotarev, Nikolai Chebotarev, Nikolai Grigorevich Cheboxary Cheboxary Cheboygan County Cheboygan County Council on Aging Cheboygan County, MI Cheboygan County, Michigan Cheboygan State Park Cheboygan, Cheboygan Airport, MI Chebsara Chebychev's inequality Chebychev's inequality Chebyshev approximation Chebyshev Differential Quadrature Chebyshev filter Chebyshev form Chebyshev Formula Chebyshev inequality Chebyshev inequality Chebyshev Parallel Motion Chebyshev polynomial Chebyshev polynomials Chebyshev root Chebyshev roots Chebyshev's differential equation Chebyshev's inequality Chebyshev's inequality Chebyshev, Pafnutii Chebyshev, Pafnutii Lvovich CHEC CHECC Chech Chechelnik Chechen Chechen Chechen Naxar Chechen Plain Chechen Refugee and Displaced Persons Council Chechen Republic Chechen Republic Chechen Republic of Ichkeria Chechen-Ingush ASSR Chechen-Ingush Autonomous Soviet Republic Chechen-Ingush Autonomous Soviet Socialist Republic Chechen-Ingush languages Chechen-Ingush University Chechenia Chechenia

Chebyshev Parallel Motion

REFERENCE