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

1998 ◽  
Vol 123 (1) ◽  
pp. 141-147 ◽  
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.

scholarly journals Miura-ori, Basics for Designing its Folding Machines

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>

Time-Domain Finite-Element Solutions for Single-Degree-of-Freedom Systems with Time-Dependent Parameters

1980 ◽  
Vol 22 (1) ◽  
pp. 29-33 ◽  
Author(s):  
J. E. T. Penny ◽  
G. F. Howard
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Time Domain ◽  
Time Dependent ◽  
Algebraic Equations ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Stiffness Properties ◽  
Linear Algebraic Equations ◽  
External Forces

The motion of systems in which mass, damping, and stiffness properties are known functions of time is described in terms of time-domain finite elements. The response of such systems to external forces is determined by generating matrices, the coefficients of which are functions of the varying parameters. The original differential equations are then replaced by sets of linear algebraic equations which are solved numerically. Examples of the use of the method are given.

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

1995 ◽  
Vol 117 (1) ◽  
pp. 124-129 ◽  
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.

scholarly journals Extended framework of Hamilton’s principle for single-degree-of-freedom nonlinear damping systems

2020 ◽  
pp. 146134842096161
Author(s):  
Jinkyu Kim
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Nonlinear Damping ◽  
Degree Of Freedom ◽  
Hamilton’S Principle ◽  
Hamilton's Principle ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Damping Systems ◽  
Element Method

The paper explores application of the variational formalism called extended framework of Hamilton’s principle to nonlinear damping systems. Single-degree-of-freedom systems with dominant source of nonlinearity from polynomial powers of the velocity are initially considered. Appropriate variational formulation is provided, and then the corresponding weak form is discretized to produce a novel computational method. The resulting low-order temporal finite element method utilizes non-iterative algorithm, and some examples are provided to verify its performance. The present temporal finite element method using small time step is equivalent to the adaptive Runge–Kutta–Fehlberg method with default error tolerances in MATLAB, and additional simulation shows its good convergence characteristics.

scholarly journals Sistem Respon Satu Derajat Kebebasan terhadap Beban Harmonik pada Struktur Portal 2D

2019 ◽  
Vol 23 (2) ◽  
pp. 136-140
Author(s):  
Muhammad Zubair Muis Alie ◽  
Indah Melati Suci ◽  
Astika Rajmi ◽  
Andi Muhammad Alfian Arafat
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Dynamics ◽  
Cyclic Load ◽  
Degree Of Freedom ◽  
Harmonic Loading ◽  
Fe Method ◽  
Mechanical Vibrations ◽  
Single Degree Of Freedom ◽  
Single Degree

Response of One Degree of Freedom System to Harmonic Loading on the structure idealized as single degree of freedom systems excited harmonically, that is structure subjected to force or displacement where the magnitude may be represented by a sine or cosine function of time. This type of excitation results one of the most important motions in the study of mechanical vibrations as well as in applications to structural dynamics. Structure is very often subjected to the dynamic action such cyclic load acting and resulting response due to the the unavoidable load eccentricity. The objective of the present study is to analyze the response of one-degree of freedom system to the portal 2D. The structure is modelled and analyzed using finite element method. The result obtained by FE method is joint displacement of the structure.

A Fast-Running Finite Element Based Method for Evaluating the Blast Performance of Laminated Insulated Glazing

2008 ◽  
Author(s):  
Chad McArthur ◽  
Darren Tennant ◽  
Jim Weeks
Keyword(s):  
Finite Element ◽  
Blast Loading ◽  
Degree Of Freedom ◽  
Calculation Methods ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Fast Running ◽  
Current State ◽  
State Of Practice ◽  
Blast Performance

The current state of practice in the design and assessment of Insulated Glazing Units to resist blast loading utilizes calculation methods to estimate the performance. The most prevalent methods used for calculating the window’s performance have been developed from a single degree of freedom (SDOF) approach. This paper presents an alternative, finite element based, approach to analyzing the blast performance of laminated insulated glazing units. The modeling approach is described for each of the primary components represented in the analysis and the results of an indicative model are compared against an equivalent analysis calculated using SDOF methods.

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