Body guidance syntheses of four-bar linkage systems employing a spring-connected block model

Kim, Bum Seok; Yoo, Hong Hee

doi:10.1016/j.mechmachtheory.2014.11.022

Cited by 13 publications

(8 citation statements)

References 18 publications

(16 reference statements)

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“…A novel algorithm called Malaga University Mechanism Synthesis Algorithm for path synthesis of mechanisms is successfully applied to six cases of path and function synthesis of four-bar and six-bar mechanisms [4]. Related subjects, see the title of the papers [2,5,11]. In the literature, the kinematic and optimization formulation of the four-bar path generator is very similar.…”

Section: Introductionmentioning

confidence: 99%

A new approach for the optimal synthesis of four-bar path generator linkages

Romero

Campos

Martins³

et al. 2019

SN Appl. Sci.

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In this paper, an optimal synthesis of four-bar path generator, using a robust mathematical formulation is presented. Natural coordinates are used in order to solve the four-bar mechanism kinematic position analytically and the Hermitian conjugate is used to build a goal function whose range is the real numbers' set. A Teaching Learning Based Optimization Algorithm is implemented to test the proposed formulation robustness, also the possibility of extending the method to another type of mechanism is described. The main advantages of the formulation are its simplicity and robustness due that the equations involved in the formulation are algebraic and the numerical field is the complex's set.

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Section: Introductionmentioning

confidence: 99%

A new approach for the optimal synthesis of four-bar path generator linkages

Romero

Campos

Martins³

et al. 2019

SN Appl. Sci.

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show abstract

“…As explained below, continuous variables cause major issues even though they cannot be avoided for efficient calculations. Besides aforementioned studies, other relevant studies were reported. However, realistic problems appearing in engineering applications could not be solved until recently because of the discrete‐type DOF (degree of freedom) constraint, which is something a rigid body mechanism must satisfy.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of vehicle rear suspension mechanisms

Kim

Kang

et al. 2017

Numerical Meth Engineering

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As suspensions critically affect the ride and handling performance of vehicles, considerable efforts have been made to improve their design by an optimization method. In this paper, we propose a topology optimization-based method for suspension synthesis by using a 3-dimensional model constructed with nonlinear bars and zero-length springs that discretize the 3-dimensional space between the chassis frame and a vehicle wheel. For optimization, bar cross-sections and spring stiffness values are used as design variables alongside the nodal positions of bar elements as shape optimization variables to simultaneously optimize the topology and shape. To verify the proposed approach, 2 types of design problems were solved: recovering known suspension mechanisms for a given set of wheel trajectories and synthesizing unknown suspension mechanisms that satisfy several design constraints typically used in the automobile industry. Through these examples, possibilities to design new and advanced suspensions by the proposed optimization method are clearly demonstrated. in a reasonable amount of time. Therefore, we hope to set up the topology optimization problem for suspension synthesis by using a numerically efficient gradient-based optimizer.Although there is no study or report that uses the topology optimization method for 3-dimensional vehicle suspension systems, there were earlier studies that dealt with planar linkage mechanisms by topology optimization. To synthesize 3-dimensional suspension systems, a recently proposed energy-based formulation developed for planar mechanisms 5 will be expanded by first reviewing earlier studies that discussed issues and difficulties with rigid body mechanism synthesis using the topology optimization method.Kawamoto 6 proposed a ground model consisting of nonlinear bar elements for the topology optimization-based synthesis of planar linkage mechanisms. An alternative modeling method is to use spring-connected rigid blocks (SBs). 7-9 Whether bar elements or spring-connected rigid blocks are used to make a ground model, mechanism layout determinations, which are discrete in nature, are expressed in terms of continuous design variables since a gradient-based optimizer cannot be used otherwise. As explained below, continuous variables cause major issues even though they cannot be avoided for efficient calculations. Besides aforementioned studies, other relevant studies 10-16 were reported. However, realistic problems appearing in engineering applications could not be solved until recently because of the discrete-type DOF (degree of freedom) constraint, which is something a rigid body mechanism must satisfy. This is not easy to express in the differentiable form when continuous design variables are used to develop a gradient-based topology optimization method. If a mechanism with a single input and a single output is to be synthesized, its DOF should be exactly 1. It is only recently that the DOF issue has been resolved by Kim and Kim 5 for the planar linkage mechanism synthesis by showing th...

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“…2(a). The SBM was also used to synthesize generalized four-bar mechanisms [27][28][29], but general planar mechanisms were not considered. It is emphasized that while the SBM was used as a reference model for our study, a completely-different model should be developed in order to be able to synthesize mechanisms having general joints at different locations.…”

Section: Introductionmentioning

confidence: 99%