2004
DOI: 10.1243/1464419043541446
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Design of parallel kinematic systems using the planar enveloping algorithm and ADAMS computer program

Abstract: The planar enveloping algorithm is combined with a parallel kinematic structure and a tooloptimization criterion to help in the design of a parallel kinematic machine (PKM). These three components, put together for the purpose of synthesis and design of a PKM, are defined as a parallel kinematic design system (PKDS). As a result, there are machining processes so that the PKM can be designed to use its actuators to position the tool, as well as to drive the cutting (grinding) motion of the tool, thus saving res… Show more

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Cited by 4 publications
(5 citation statements)
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“…The basic components of a mechanical/mechatronic system can be structured in the following way: components that bring movement → mobile bodies; components that eliminate motion → connections between bodies (when they are modeled by joints or constraint equations); components that control motion → actuating elements (when they are modeled by motion restrictions). Thus, the number of degrees of freedom is given by the following equation (Gruebler's count) [16]:…”
Section: The Analysis Flowchartmentioning
confidence: 99%
“…The basic components of a mechanical/mechatronic system can be structured in the following way: components that bring movement → mobile bodies; components that eliminate motion → connections between bodies (when they are modeled by joints or constraint equations); components that control motion → actuating elements (when they are modeled by motion restrictions). Thus, the number of degrees of freedom is given by the following equation (Gruebler's count) [16]:…”
Section: The Analysis Flowchartmentioning
confidence: 99%
“…For the kinematic analysis, where the force generating elements (as the bushings actually are) are not taken into account, the bushings are modeled as spherical joints, thus neglecting the linear (axial and radial) deformations [21]- [24]. A comprehensive structural systematization of the axle guiding mechanisms based on spherical joint assumption was presented in [21], according to the number of degrees of mobility (DOM=1 or DOM=2, by case), which can be determined by the Gruebler's count [25], [26]:…”
Section: The Kinematic Analysis Algorithmmentioning
confidence: 99%
“…Thus, if the generalized forces have the form of equation ( 7), going to singular equations is quite correct, and these equations possess a unique solution and can be written in the normal form of equations ( 8) and (9). Hence, both questions posed in section 2 are answered.…”
Section: Notementioning
confidence: 99%
“…At first glance, this drastically narrows the field of application of the results obtained because when extended structures are dealt with, the effect of elasticity is usually significant. However, rigid-body systems find application as well [8][9][10]. They are not infrequently used at the early stages of research to obtain preliminary estimates when the effect of elasticity is ignored.…”
Section: Introductionmentioning
confidence: 99%