Miura-ori, Basics for Designing its Folding Machines

Proceedings of the ICA ◽

10.5194/ica-proc-2-86-2019 ◽

2019 ◽

Vol 2 ◽

pp. 1-5

Author(s):

Koryo Miura

Keyword(s):

Basic Concept ◽

High Speed ◽

Geometric Property ◽

Unique Property ◽

Degree Of Freedom ◽

Design Parameters ◽

Geometric Properties ◽

Single Degree Of Freedom ◽

Single Degree

<p><strong>Abstract.</strong> The unique property of the Miura-ori map is due to the geometric property of “the single degree of freedom”. With this, one can open a map with a single pull motion. However, due to this property, the high-speed folding machine is difficult to realized. In this presentation, author investigates the natural geometric properties of Miura-ori in detail and proposes a basic concept for designing its folding machine. Though, the result does not provide a draft of a folding machine, the basics for the design parameters is beneficial for future works.</p>

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A Computationally Efficient Numerical Algorithm for the Transient Response of High-Speed Elastic Linkages

Journal of Mechanical Design ◽

10.1115/1.3454012 ◽

1979 ◽

Vol 101 (1) ◽

pp. 138-148 ◽

Cited By ~ 10

Author(s):

A. Midha ◽

A. G. Erdman ◽

D. A. Frohrib

Keyword(s):

Transient Response ◽

Numerical Algorithm ◽

High Speed ◽

Relative Size ◽

Degree Of Freedom ◽

Time Dependent ◽

Computationally Efficient ◽

Single Degree Of Freedom ◽

Single Degree ◽

Forcing Function

A new numerical algorithm, easily adaptable for computer simulation, is developed to approximate the transient response of a single degree-of-freedom vibrating system; governing differential equation is linear and second order with time-dependent and periodic coefficients. This is accomplished by first solving the classical linear single degree-of-freedom problem with constant coefficients. The system is excited by a periodic forcing function possessing a certain degree of smoothness. The integration terms in the solution are systematically expanded into two groups of terms: one consists of non-integral terms while the other contains only integral terms. The final integral terms are bounded. For certain combinations of frequency and damping, within the sub-resonant frequency range, the relative size of the integral terms are demonstrated to be small. The algebraic expansion (non-integral) terms then approximate the solution. The solution to a single degree-of-freedom system with time-dependent and periodic parameters is made possible by discretizing the forcing period into a number of intervals and assuming the system parameters as constant over each interval. The numerical algorithm is then employed to solve an elastic linkage problem via modal superposition. Convergence of the solution is verified by refining the number of intervals of discretization.

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A Finite-Element-Based Method to Determine the Spatial Stiffness Properties of a Notch Hinge

Journal of Mechanical Design ◽

10.1115/1.1342157 ◽

1998 ◽

Vol 123 (1) ◽

pp. 141-147 ◽

Cited By ~ 38

Author(s):

Shilong Zhang ◽

Ernest D. Fasse

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Joint Stiffness ◽

Degree Of Freedom ◽

Design Parameters ◽

Single Degree Of Freedom ◽

Single Degree ◽

Stiffness Properties ◽

Six Degree Of Freedom ◽

Flexural Hinges

Notch hinges are flexural hinges used to make complex, precise mechanisms. They are typically modeled as single degree-of-freedom hinges with an associated joint stiffness. This is not adequate for all purposes. This paper computes the six degree-of-freedom stiffness properties of notch hinges using finite element methods. The results are parameterized in terms of meaningful design parameters.

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Computer Analysis of the Dynamic Contact Behavior and Tracking Characteristics of a Single-Degree-of-Freedom Slider Model for a Contact Recording Head

Journal of Tribology ◽

10.1115/1.2830586 ◽

1995 ◽

Vol 117 (1) ◽

pp. 124-129 ◽

Cited By ~ 17

Author(s):

Kyosuke Ono ◽

Hiroshi Yamamura ◽

Takaaki Mizokoshi

Keyword(s):

Contact Stiffness ◽

Time History ◽

Dynamic Contact ◽

Disk Surface ◽

Degree Of Freedom ◽

Design Parameters ◽

Single Degree Of Freedom ◽

Contact Behavior ◽

Single Degree ◽

Contact Slider

This paper presents a new theoretical approach to the dynamic contact behavior and tracking characteristics of a contact slider that is one of the candidates of head design for future high density magnetic recording disk storages. A slider and its suspension are modeled as a single-degree-of-freedom vibration system. The disk surface is assumed to have a harmonic wavy roughness with linear contact stiffness and damping. From the computer simulation of the time history of the slider motion after dropping from the initial height of 10 nm, it is found that the contact vibration of the slider can attenuate and finally track on the wavy disk surface in a low waviness frequency range. As the waviness frequency increases, however, the slider cannot stay on the disk surface and comes to exhibit a variety of contact vibrations, such as sub- and super-harmonic resonance responses and finally comes to exhibit non-periodic vibration. It is also found that, among design parameters, the slider load to mass ratio and contact damping can greatly increase the surface waviness frequency and amplitude for which the stable tracking of a contact slider is possible.

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