Look-out for prime-chains with a prescribed number of mobility-degrees of freedom

Dijksman, EA Evert; Timmermans, EA

doi:10.1016/0094-114x(94)90109-0

Cited by 6 publications

(3 citation statements)

References 6 publications

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“…This process will be repeated until convergence is achieved. In accordance with (11) and (39) we can write…”

Section: Non-linear Kinematic Analysis: Position Problemsmentioning

confidence: 95%

“…From the theoretical point of view this does not make any great difference, but the numerical convergence in this latter case is very costly. One may therefore take (11) or (12) as error function for these three problems, assuming the stiffness values of the rods k G to be constant, while the expression (13) is no longer usable since it is valid only in the case of small displacements. Note that these k G values will not affect the solution of the initial and successive position problems, whose solutions are within the field of rigid-body movements, but they will indeed affect that of the deformed position.…”

Section: Non-linear Kinematic Analysis: Position Problemsmentioning

confidence: 99%

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A Procedure for the Optimal Synthesis of Planar Mechanisms Based on Non‐linear Position Problems

Avilés

Ajuria

Vallejo

et al. 1997

Numerical Meth Engineering

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SUMMARYThe present paper describes a procedure for the optimal dimensional synthesis of mechanisms which is based on the solution of non-linear position problems. Planar mechanisms are modelled very easily by means of finite elements of bi-hinged rod type. The judicious choice of constraint conditions makes possible the solution of classical position problems: initial, finite-displacement, deformed and static-equilibrium problems, as well as the main types of dimensional synthesis: path generation, functions, rigid body guidance, mixed, and multiple. A single synthesis error function applies to all these types, and moreover is general since it is valid for mechanisms of any configuration. This function is based on the idea that the best mechanism for the given synthesis conditions is the one that least needs to be deformed when it is obliged to satisfy them exactly, to which end the elastic deformation of the elements is permitted.1997 by John Wiley & Sons, Ltd.

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“…This process will be repeated until convergence is achieved. In accordance with (11) and (39) we can write…”

Section: Non-linear Kinematic Analysis: Position Problemsmentioning

confidence: 95%

Section: Non-linear Kinematic Analysis: Position Problemsmentioning

confidence: 99%

A Procedure for the Optimal Synthesis of Planar Mechanisms Based on Non‐linear Position Problems

Avilés

Ajuria

Vallejo

et al. 1997

Numerical Meth Engineering

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“…The constrained linkage-system in Ammodytes tobianus has still a mobility 1. Dijksman & Timmermans (1994) have studied possibilities for the design of multi-bar linkages with mobility 1, especially so-called 'primechains'. This theory may possibly be of help in future studies of complex mechanisms in animals.…”

Section: (E) C O U P Le D Lin K a G E S A N D F O U R -B A R R E P La C E M E N T M E C H A N Is M Smentioning

confidence: 99%

A novel classification of planar four-bar linkages and its application to the mechanical analysis of animal systems

Müller

1996

Phil. Trans. R. Soc. Lond. B

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A novel classification of planar four-bar linkages is presented based on the systematical variation of one, two or three bar lengths and studying the transmission properties (input-output curves) of the linkages. This classification is better suited to the study of biological systems than the classical Grashof-classification used in engineering as it considers the change of structural elements, in evolution for example, instead of evaluating the possibilities for the rotation of a particular bar. The mechanical features of a wide range of planar linkages in vertebrates, described by various authors, have been included in this classification. Examples are: skull-levation and jaw-protrusion mechanisms in fishes, reptiles and birds, the coral crushing apparatus of parrotfishes, and catapult-mechanisms in feeding pipefishes. Four-bar replacement mechanisms, e.g., crank-slider mechanisms in feeding systems of fishes and cam-mechanisms in mammalian limb-joints, and more complex linkages than four-bar ones, e.g., six-bar linkages and interconnected four-bar linkages in fish feeding mechanisms are also discussed. In this way, an overview is obtained of the applicability of planar linkage theory in animal mechanics to mechanical functioning and the effect of possible variations of bar lengths and working ranges in evolution. Four-bar system analysis often provides a rigorous method of simplifying the study of complex biological mechanisms. The acceptable width-range of necessary and undesired hysteresis ('play') in biological linkages is also discussed.

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Nicolae Manolescu (1907–1993)

Ionescu¹

2009

History of Mechanism and Machine Science

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Look-out for prime-chains with a prescribed number of mobility-degrees of freedom

Cited by 6 publications

References 6 publications

A Procedure for the Optimal Synthesis of Planar Mechanisms Based on Non‐linear Position Problems

A Procedure for the Optimal Synthesis of Planar Mechanisms Based on Non‐linear Position Problems

A novel classification of planar four-bar linkages and its application to the mechanical analysis of animal systems

Nicolae Manolescu (1907–1993)

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