2022
DOI: 10.3390/math10234465
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Kinematic Modeling and Stiffness Analysis of a 3-DOF 3SPS + 3PRS Parallel Manipulator

Abstract: The driving mechanism of an axisymmetric vectoring exhaust nozzle (AVEN) is a 3-degrees-of-freedom (3-DOF) parallel manipulator (PM) with a centering device. According to the characteristics of the vectoring nozzle’s movement mechanism, the 3-DOF kinematics model of the 3SPS + 3PRS PM is established. The forward and inverse positional posture models are built based on the mechanism architecture of PM and the closed-loop vector method. The Jacobian matrix and Hessian matrix are derived using screw theory, and v… Show more

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Cited by 4 publications
(2 citation statements)
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“…Tait-Bryan angles were used to obtain the resulting rotation matrix while defining the orientation of the Ox2y2z2 coordinate system on the effector. The rotation method of this coordinate system is in the order Z1Y2X3, where indexes 1,2,3 symbolize the angles ψ, θ, ϕ, that were used for the rotation about each axis [21,22]. Tait-Bryan angles were used to obtain the resulting rotation matrix while defining the orientation of the Ox 2 y 2 z 2 coordinate system on the effector.…”
Section: Kinematicsmentioning
confidence: 99%
See 1 more Smart Citation
“…Tait-Bryan angles were used to obtain the resulting rotation matrix while defining the orientation of the Ox2y2z2 coordinate system on the effector. The rotation method of this coordinate system is in the order Z1Y2X3, where indexes 1,2,3 symbolize the angles ψ, θ, ϕ, that were used for the rotation about each axis [21,22]. Tait-Bryan angles were used to obtain the resulting rotation matrix while defining the orientation of the Ox 2 y 2 z 2 coordinate system on the effector.…”
Section: Kinematicsmentioning
confidence: 99%
“…Tait-Bryan angles were used to obtain the resulting rotation matrix while defining the orientation of the Ox 2 y 2 z 2 coordinate system on the effector. The rotation method of this coordinate system is in the order Z 1 Y 2 X 3 , where indexes 1,2,3 symbolize the angles ψ, θ, φ, that were used for the rotation about each axis [21,22].…”
Section: Kinematicsmentioning
confidence: 99%