Accelerations in the Ball Joint

Fischer, Ian

doi:10.1080/15397734.2013.811038

Mechanics Based Design of Structures and Machines

2013

DOI: 10.1080/15397734.2013.811038

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Accelerations in the Ball Joint

Ian Fischer

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2018

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The Moore–Penrose Dual Generalized Inverse Matrix With Application to Kinematic Synthesis of Spatial Linkages

Pennestrı̀

Valentini

Falco³

2018

Journal of Mechanical Design

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The paper initially reports about the properties of an expression of dual generalized inverse matrix currently available in the literature. It is demonstrated that such a matrix does not fulfill all the Penrose conditions. Hence, novel and computationally efficient algorithms/formulas for the computation of the Moore–Penrose dual generalized inverse (MPDGI) are herein proposed. The paper also contains a new algorithm for the singular value decomposition (SVD) of a dual matrix. The availability of these formulas allows the simultaneous solution of overdetermined systems of dual linear equations without requiring the traditional separation in primal and dual parts. This should prove useful for the solution of many kinematic problems. The algorithms/formulas herein deduced have been also tested on the kinematic synthesis of the constant transmission ratio RCCC spatial linkage.

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The Moore–Penrose Dual Generalized Inverse Matrix With Application to Kinematic Synthesis of Spatial Linkages

Pennestrı̀

Valentini

Falco³

2018

Journal of Mechanical Design

View full text Add to dashboard Cite

show abstract

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Accelerations in the Ball Joint

Cited by 1 publication

References 16 publications

The Moore–Penrose Dual Generalized Inverse Matrix With Application to Kinematic Synthesis of Spatial Linkages

The Moore–Penrose Dual Generalized Inverse Matrix With Application to Kinematic Synthesis of Spatial Linkages

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