Optimal design of one-dimensional porous slider bearings using the Brinkman model

Momentum exchange impact dampers (MEIDs) were proposed to control the shock responses of mechanical structures. They were applied to reduce floor shock vibrations and control lunar/planetary exploration spacecraft landings. MEIDs are required to control an object’s velocity and displacement, especially for applications involving spacecraft landing. Previous studies verified numerous MEID performances through various types of simulations and experiments. However, previous studies discussing the optimal design methodology for MEIDs are limited. This study explicitly derived the optimal design parameters of MEIDs, which control the controlled object’s displacement and velocity to zero in one-dimensional motion. In addition, the study derived sub-optimal design parameters to control the controlled object’s velocity within a reasonable approximation to derive a practical design methodology for MEIDs. The derived sub-optimal design methodology could also be applied to MEIDs in two-dimensional motion. Furthermore, simulations conducted in the study verified the performances of MEIDs with optimal/sub-optimal design parameters.

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Performance characteristics of finite porous slider bearings: Brinkman model

Tribology International ◽

10.1016/s0301-679x(01)00016-0 ◽

2001 ◽

Vol 34 (3) ◽

pp. 181-189 ◽

Cited By ~ 5

Author(s):

Jaw-Ren Lin

Keyword(s):

Performance Characteristics ◽

Brinkman Model ◽

Slider Bearings

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Optimal Design Approach for One-dimensional Rubber-Concrete Periodic Foundations based on Analytical Approximations of Band Gaps

10.31224/osf.io/95bpa ◽

2021 ◽

Author(s):

Zhifeng Xu

Keyword(s):

Optimal Design ◽

Periodic Structures ◽

Analytical Approximation ◽

Band Gaps ◽

Design Approach ◽

One Dimensional ◽

Frequency Responses ◽

Analytical Approximations ◽

Resonance Frequencies ◽

Rubber Concrete

This research investigates band gaps and frequency responses of one-dimensional periodic structures and further presents an optimal design approach for one-dimensional rubber-concrete periodic foundations based on the proposed analytical formulas for approximating the first few band gaps. The presented design approach is optimal for being able of globally searching the best solution which effectively cooperates the band gaps with the superstructure’s resonance frequencies. Firstly, frequency responses of one-dimensional periodic structures and the corresponding approximation method are studied. Furthermore, analytical approximation formulas for the first few band gaps, localization factor, attenuation coefficient, and frequency responses of one-dimensional rubber-concrete periodic foundations are proposed and verified. Lastly, inspired by the proposed analytical approximation for computing band gaps, an optimal design approach for one-dimensional rubber-concrete periodic foundations is presented and applied to a practical example, whose optimality is verified theoretically and numerically.

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Generalized Reynolds Equation for Micropolar Lubricants and its Application to Optimum One-Dimensional Slider Bearings: Effects of Solid-Particle Additives in Solution

Journal of Mechanical Engineering Science ◽

10.1243/jmes_jour_1975_017_040_02 ◽

1975 ◽

Vol 17 (5) ◽

pp. 280-284 ◽

Cited By ~ 41

Author(s):

J. B. Shukla ◽

M. Isa

Keyword(s):

Calculus Of Variations ◽

Solid Particle ◽

Micropolar Fluid ◽

Reynolds Equation ◽

Slider Bearing ◽

One Dimensional ◽

Slider Bearings ◽

Generalized Reynolds Equation

The effects of solid-particle additives in the lubricant are considered by characterizing this suspension as a micropolar fluid. The generalized Reynolds equation for this case has been derived and the optimum one-dimensional slider bearing is studied by using the techniques of the calculus of variations.

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