Synthesis of Spring Parameters to Satisfy Specified Energy Levels in Planar Mechanisms

Matthew, G. K.; Tesar, Delbert

doi:10.1115/1.3439223

Cited by 16 publications

(5 citation statements)

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“…In this case, the above equations can still be applied but vyitb the term Tm in eqs. (8) and (10) replaced by T v , and the term T m ll in eq. (12)…”

Section: Extension Of the Proposed Methodsmentioning

confidence: 99%

“…Cenova [6] and Skreiner [7] suggested the use of a spring attached to the input and output links respectively, to reduce the fluctuation of the input torque. Mathew and Tesar [8,9] established a method for synthesis of spring parameters to satisfy specified energy levels in planar mechanisms. The method was employed for the minimization of the fluctuation of the input torque.…”

Section: Introductionmentioning

confidence: 99%

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Elimination of the Fluctuation of the Input Torque of Planar Mechanisms by Spring-Cam System

Hedaya¹

1986

The International Conference on Applied Mechanics and Mechanica

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The paper proposes the use of a cam with a reciprocating or oscillating follower for the elimination of the fluctuation of the torque input to a planer mechanism. The cam is fixed to the input shaft, which is rotating at a uniform speed, and • the follower is maintained in contact with the cam by means of a spring. The expression of the input torque, which is required to drive a planar mechanism at a constant input speed, with the output leads and inertia forces considered, is derived. The cam profile is designed such that the cam input torque counters the fluctuating part of the mechanism input torque. This condition is employed in deriving the cam design equation, which is a differential equation describing the follower dsplacement. A special numerical method is proposed for the solution of this equation. Also, a formula is derived for the contact force between the cam and follower. This formula is applied at different mechanism positions, after the solution of the cam design equation, to check the contact between the cam and follower. The proposed method is applied to a four-bar linkage by using a disc cam with an oscilating follower as a numerical example.

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“…In this case, the above equations can still be applied but vyitb the term Tm in eqs. (8) and (10) replaced by T v , and the term T m ll in eq. (12)…”

Section: Extension Of the Proposed Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Elimination of the Fluctuation of the Input Torque of Planar Mechanisms by Spring-Cam System

Hedaya¹

1986

The International Conference on Applied Mechanics and Mechanica

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“…For simulating the kinematic behavior of a CM, only approximation methods are considered, given that exact solutions only exist for specific shapes whereas a general solution is sought. In literature, two distinctive approaches for the modeling of compliant kinematics are being used extensively: the Finite Element Analysis (FEA) [17,20,37,[39][40][41][42] and Pseudo-Rigid-Body (PRB) models [43][44][45][46][47].…”

Section: Compliance Modelingmentioning

confidence: 99%

“…By taking the energy stored in compliant members into account, desired force, torque and energy characteristics can be specified upfront and designed for. Matthew and Tesar [44] have presented such an extended synthesis method by giving analytical formulations for the synthesis of springs in planar mechanisms in order to provide balancing properties. Roth and Huang [45] presented a method for designing spring elements to match known external forces.…”

Section: Synthesis With Compliance: Kinematics and Dynamicsmentioning

confidence: 99%

Kinematic Synthesis Using Reinforcement Learning

Vermeer

Kuppens

Herder

2018

Volume 2A: 44th Design Automation Conference

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The presented research demonstrates the synthesis of two-dimensional kinematic mechanisms using feature-based reinforcement learning. As a running example the classic challenge of designing a straight-line mechanism is adopted: a mechanism capable of tracing a straight line as part of its trajectory. This paper presents a basic framework, consisting of elements such as mechanism representations, kinematic simulations and learning algorithms, as well as some of the resulting mechanisms and a comparison to prior art. Series of successful mechanisms have been synthesized for path generation of a straight line and figure-eight.

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“…A number of authors have examined spring-based equilibrators for static mass balancing. The synthesis of such mechanisms has been investigated by Hain (1961) and Matthew and Tesar (1977). More recently, Soper, Mook, and Reinholtz (1997) suggested that spring equilibrators may have application in dynamic systems as a low-cost means of modifying the system potential energy.…”

Section: Introductionmentioning

confidence: 99%

A Nonclassical Vibration Absorber for Pendulation Reduction

Lacarbonara

Soper

Nayfeh

et al. 2001

Journal of Vibration and Control

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A passive vibration absorber for reducing the motion of a planar pendulum is developed. The system is excited by the horizontal motion of the support. The design transforms the original one-degree-of- freedom pendulum into a double pendulum by adding a small secondary pendulating sacrificial mass between the main system and the base excitation point and two pretensioned springs that generate negative restoring moments (i.e., of opposite sign to that of the gravity-induced restoring moments). Optimal conditions for enhancing the transfer of energy from the main (lower) to the secondary (upper) pendulum are sought. The damping is assumed to be of a linear viscous-type. Due to the action of the springs, the transfer function between the pendulation angle of the main system and the disturbance, in the undamped linearized case, can be reduced to zero for any excitation frequency This is accomplished by requiring that the two spring stiffnesses satisfy an algebraic tuning relation. Due to the inherent inertial coupling, the two normal coordi nates are coupled through off-diagonal terms in the damping matrix. Hence, the vibration absorber acts to block the transfer of disturbance energy to the main system while enhancing the transfer of energy due to initial conditions from the main pendulum to the secondary pendulum. The absorber design is based on a frequency-domain approach borrowed from linear theory. Therefore, to corroborate the effectiveness of the absorber in the nonlinear operating regime (for higher excitation levels), representative responses to initial conditions and frequency-response curves are computed by applying a path-following algorithm to the full nonlinear governing equations. The overall effect of the design is somehow a "linearization" of the system behavior with increased damping properties. In fact, the proposed absorber reduces the response of the sys tem by more than 30 decibels near resonance, exhibits good attenuation characteristics in a broad range of frequencies away from resonance, and remarkably improves the initial-condition response.

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Synthesis of Spring Parameters to Satisfy Specified Energy Levels in Planar Mechanisms

Cited by 16 publications

References 0 publications

Elimination of the Fluctuation of the Input Torque of Planar Mechanisms by Spring-Cam System

Elimination of the Fluctuation of the Input Torque of Planar Mechanisms by Spring-Cam System

Kinematic Synthesis Using Reinforcement Learning

A Nonclassical Vibration Absorber for Pendulation Reduction

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