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Parametric damped v...
Parametric damped vibrations of Gough–Stewart platforms for symmetric configurations
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- Afzali Far, Behrouz (author)
- Lund University,Lunds universitet,Mekanik,Institutionen för maskinvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Mechanics,Department of Mechanical Engineering Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Lidström, Per (author)
- Lund University,Lunds universitet,Mekanik,Institutionen för maskinvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Mechanics,Department of Mechanical Engineering Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Nilsson, Kristina (author)
- Lund University,Lunds universitet,Mekanik,Institutionen för maskinvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Mechanics,Department of Mechanical Engineering Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- Elsevier BV, 2014
- 2014
- English.
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In: Mechanism and Machine Theory. - : Elsevier BV. - 1873-3999 .- 0094-114X. ; 80, s. 52-69
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Abstract
Subject headings
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- Abstract Modal behavior of a GoughâStewart Platform (GSP) is sensitive to several variables related to its inertia, damping and stiffness as well as its complex 3-D geometry. To optimize its dynamical performance, due to the complications of this system, it is crucial to have the equations parametrically at the neutral configuration. However, in the literature, no complete parametric solution to this problem is presented. In this paper, we establish a fully-parametric and closed-form model for the damped vibrations of GSPs. In particular, this analytical model can be used in order to design, optimize and control GSPs in high-precision/bandwidth applications. Parametric expressions of the damped eigenfrequencies and the corresponding eigenvectors as well as the Jacobian, stiffness and damping matrices are developed. Interestingly, despite the complexity of the system, it is shown how well-structured algebraic expressions are obtained using the Cartesian-space approach. Having analytically studied the eigenvectors, the conditions for decoupled vibrations are also analytically formulated. Finally, using a reference GSP, the sensitivity of the damped eigenfrequencies to stiffness and damping variations are investigated accompanied by a cross-check with an ABAQUS® simulation.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering (hsv//eng)
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik -- Teknisk mekanik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering -- Applied Mechanics (hsv//eng)
Keyword
- Gough–Stewart manipulators
- Parallel robots
- Hexapods
- Parametric modal analysis
- Mode shapes
Publication and Content Type
- art (subject category)
- ref (subject category)
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