A contribution to wave spring design

1988 ◽  
Vol 23 (3) ◽  
pp. 145-153 ◽  
Author(s):  
E Dragoni
Keyword(s):  
Closed Form ◽  
Analytical Model ◽  
Internal Stresses ◽  
Mathematical Treatment ◽  
Experimental Measurements ◽  
Deflection Curve ◽  
Analytical Results ◽  
The Relationship ◽  
Load Deflection Curve ◽  
Castigliano’S Theorem

An analytical model for stamped ring wave springs is proposed, based on the theory for circular beams loaded normal to the plane of curvature. The model profits from the adoption of Castigliano's theorem as a tool for mathematical treatment. Closed-form expressions for both load—deflection and load—stress relationships are presented. Because of the particular shape of the spring in the undeformed configuration, the load—deflection curve is found to be appreciably bilinear in character. A similar but less pronounced behaviour is displayed also by the relationship between load and internal stresses. The analytical results are compared to earlier theoretical findings and are shown to correlate well with experimental measurements.

Characterization and Modeling of Thermal Buckling in Eccentrically Loaded Microfabricated Nickel Beams for Adaptive Cooling

2005 ◽  
Author(s):  
Matthew McCarthy ◽  
Nicholas Tiliakos ◽  
Vijay Modi ◽  
Luc Freche´tte
Keyword(s):  
Closed Form ◽  
Analytical Model ◽  
Thermal Loading ◽  
Thermal Buckling ◽  
Design Parameters ◽  
Experimental Measurements ◽  
Test Results ◽  
Actuation Mechanism ◽  
Highly Nonlinear ◽  
Form Model

The design, fabrication and testing of micromachined nickel beams buckling under thermal loading will be presented in this paper. The focus will be on characterizing key design parameters important to the implementation of electroplated nickel beams as the actuation mechanism in a thermally adaptive microvalve. An analytical model of the thermal buckling phenomena has been developed and validated with test results from electroplated nickel beams with slight eccentricities. Highly nonlinear deflection versus temperature curves were predicted by the closed form model and match well with experimental measurements. Buckling deflections of more than 50μm were achieved at actuation temperatures under 100°C. The nickel beam fabrication process will be presented, as well as various fabrication related issues impacting the actuation capabilities of the beams.

Analytical model for predicting the load–deflection curve of post-fire reinforced-concrete slab

2018 ◽  
Vol 101 ◽  
pp. 63-83 ◽  
Author(s):  
Yong Wang ◽  
Wenxuan Guo ◽  
Zhaohui Huang ◽  
Bangyun Long ◽  
Guanglin Yuan ◽  
...  
Keyword(s):  
Reinforced Concrete ◽  
Analytical Model ◽  
Concrete Slab ◽  
Deflection Curve ◽  
Reinforced Concrete Slab ◽  
Load Deflection Curve

Power Harvesting from the Vibration-Induced by the Piezoelectric Stator of Traveling Wave Rotary Ultrasonic Motor

2011 ◽  
Vol 317-319 ◽  
pp. 616-620 ◽  
Author(s):  
Guang Qing Wang ◽  
Zhong Wei Zhao
Keyword(s):  
Energy Conversion ◽  
Analytical Model ◽  
Traveling Wave ◽  
Mechanical Energy ◽  
Ultrasonic Motor ◽  
Maximum Output ◽  
Induced Voltage ◽  
Power Harvesting ◽  
Conversion Model ◽  
The Relationship

In this article, a novel electro-mechanical energy conversion model of power harvesting from the vibration-induced the piezoelectric stator of the traveling wave rotary ultrasonic motor was proposed. Based on the curvature basis approach, the relationship between the deduced voltage and the mechanical stain induced by piezoelectric polarization was formulated. In addition to the relationships between the maximum induced voltages at the resonance frequency, the conversion energy density and the dimensions of the piezoelectric stator were also derived. The analytical model shows that the vibration-induced voltage is proportional to the exciting electrical voltage magnitude and square of height of the piezoelectric ceramic (PZT) but is inversely proportional to the permittivity of PZT and the damping coefficient of the stator. Some simulations and experimental results demonstrate that the maximum output voltage coincides with the energy conversion analytical model.

scholarly journals Subthreshold swing model using scale length for sub-10 nm junction-based double-gate MOSFETs

2020 ◽  
Vol 10 (2) ◽  
pp. 1747
Author(s):  
Hakkee Jung
Keyword(s):  
Analytical Model ◽  
Potential Distribution ◽  
Geometric Mean ◽  
Oxide Thickness ◽  
Channel Length ◽  
Subthreshold Swing ◽  
Double Gate ◽  
Silicon Thickness ◽  
The Relationship ◽  
Scale Length

We propose an analytical model for subthreshold swing using scale length for sub-10 nm double gate (DG) MOSFETs. When the order of the calculation for the series type potential distribution is increased it is possible to obtain accuracy, but there is a problem that the calculation becomes large. Using only the first order calculation of potential distribution, we derive the scale length λ1 and use it to obtain an analytical model of subthreshold swing. The findings show this subthreshold swing model is in concordance with a 2D simulation. The relationship between the channel length and silicon thickness, which can analyze the subthreshold swing using λ1, is derived by the relationship between the scale length and the geometric mean of the silicon and oxide thickness. If the silicon thickness and oxide film thickness satisfy the condition of (Lg-0.215)/6.38 > tsi(=tox), it is found that the result of this model agrees with the results using higher order calculations, within a 4% error range.

scholarly journals Decomposition of M/M/1 With Unreliable Service and a Working Vacation

2020 ◽  
Vol 9 (1) ◽  
pp. 63
Author(s):  
Joshua Patterson ◽  
Andrzej Korzeniowski
Keyword(s):  
Closed Form ◽  
Failure Rate ◽  
Waiting Time ◽  
Queue Length ◽  
Service Failure ◽  
Working Vacation ◽  
Stationary Queue Length ◽  
Stationary Waiting Time ◽  
Relationship Of ◽  
The Relationship

We use the stationary distribution for the M/M/1 with Unreliable Service and aWorking Vacation (M/M/1/US/WV) given explicitly in (Patterson & Korzeniowski, 2019) to find a decomposition of the stationary queue length N. By applying the distributional form of Little's Law the Laplace-tieltjes Transform of the stationary customer waiting time W is derived. The closed form of the expected value and variance for both N and W is found and the relationship of the expected stationary waiting time as a function of the service failure rate is determined.

Experimental Study on Mechanical Properties of Rubber Used for Damping Bearing

2011 ◽  
Vol 189-193 ◽  
pp. 1132-1136 ◽  
Author(s):  
Yong Xu Zhao ◽  
Wen Jun Hu ◽  
Jun Mei ◽  
Niu Wei ◽  
Jian Jun Xie
Keyword(s):  
Mechanical Properties ◽  
Low Temperature ◽  
Three Dimensional ◽  
Middle Part ◽  
Loading Conditions ◽  
Deflection Curve ◽  
Rubber Bearing ◽  
Components Analysis ◽  
The Impact ◽  
Load Deflection Curve

After testing on T-type rubber bearing under tensile, compression and shear mechanical properties under different temperature in this paper. Obtained load deflection curve and destructive mode under different loading conditions at -40 and normal temperature of rubber components. Analysis the impact of temperature and the loading conditions that effect on load-elongation and destructive mode of T-type damping rubber structure. It showed that T-end rubber bearing has different kinds of deformation under different force-giving methods. Under compression, the stress pattern of the rubber bearing is three-dimensional and middle rubber bear the greatest force. Under tensile loading, the middle part of the rubber contract and the side with smaller lateral section has greater shrinkage; moreover, damage occurred in the area with stress concentration and weak strength. Under shearing action, extrude faces appeared with crinkle and damage occurred in the middle part of extrude faces. At the low temperature-40 , rubber support still has great elastic properties. The low temperature has a big effect on tensile properties and has little effect on damage properties.

Mesoscale Dynamic Ice Formation and Breaking on a Vibrating Thin Membrane

1999 ◽  
Author(s):  
Jeff Fullilove ◽  
Norman Miller ◽  
Mark Shannon ◽  
Michael Philpot ◽  
Alexander Vakakis ◽  
...  
Keyword(s):  
Average Rate ◽  
Ice Formation ◽  
Experimental Measurements ◽  
Thin Membrane ◽  
Laser Vibrometry ◽  
Membrane Interaction ◽  
Analytical Results ◽  
Vibrating Membrane

Abstract We study dynamic ice formation and breaking (IF/B) on a thin vibrating membrane. The complicated discontinuous dynamics of the membrane is studied experimentally using laser vibrometry. Although the fluid- and coolant-membrane interaction with simultaneous ice forming and breaking is a complicated dynamical phenomenon, the average rate of ice formed and broken can be approximately quantified. The analytical results are compared to experimental measurements.

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