Exact Critical Loads for a Pinned Half-Sine Arch Under End Couples

Chen, Jen‐San; Lin, Jian-San

doi:10.1115/1.1827244

Cited by 16 publications

(7 citation statements)

References 2 publications

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“…The first theoretical prediction on the static critical load was conducted by Timoshenko (1935), in which a pinned sinusoidal arch was subjected to a uniformly distributed load. TimoshenkoÕs pioneering work was followed and extended by many other researchers, including Fung and Kaplan (1952), Gjelsvik and Bonder (1962), Onat and Shu (1962), Franciosi et al (1964), Schreyer and Masur (1966), Lee and Murphy (1968), Simitses (1973), and Chen and Lin (2005). Experimental results have been reported by Roorda (1965).…”

Section: Introductionmentioning

confidence: 79%

Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load

Chen

2006

International Journal of Solids and Structures

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In this paper we study the effects of elastic foundation on the static and dynamic snap-through of a shallow arch under a point load traveling at a constant speed. The deformation of the arch is expressed in a Fourier series. For static analysis when the moving speed of the point load is almost zero, the first four modes in the expansion are sufficient in predicting the equilibrium positions and the critical loads. Unlike the case without elastic foundation, static snapthrough can occur even when the arch is in another stable (P À 1 ) position before the point load moves onto the arch. In the dynamic case when the moving speed of the point load is significant, the numerical simulation of the response does not converge well, especially long after the point load leaves the arch. However, the total energy of the arch converges quite well when only the first eight modes are used in the Fourier series. This observation allows us to establish a sufficient condition against dynamic snap though, although we are unable to predict precisely, with finite number of modes in the series, at what time it will occur when this sufficient condition is not fulfilled.

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Section: Introductionmentioning

confidence: 79%

Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load

Chen

2006

International Journal of Solids and Structures

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“…They derived analytical solutions of circular arches, but their solutions are limited to solid rectangular cross sections. Recently, Pi et al [14], Bradford et al [15], Rubin [16], and Chen and Lin [17][18][19] studied the buckling of shallow arches. In particular, Pi et al [14] and Bradford et al [15] provided solutions of both pin-ended and fixed circular shallow arches.…”

Section: Introductionmentioning

confidence: 98%

In-plane elastic buckling of pin-ended shallow parabolic arches

Moon

Yoon

Lee

et al. 2007

Engineering Structures

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“…Harmonic excitation can switch the beam between the two stable positions [30,31] . A critical amount of energy introduced to the actuator activates the transition of the system between those stable points [32,33].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a threshold shock sensor: Combining bi-stability and triboelectricity

Nelson

Ibrahim

Towfighian

2019

Sensors and Actuators A: Physical

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A proof of concept of a triboelectric threshold shock sensor and its characterization are presented. Shock sensors are used in many applications in the automotive, shipping and other industries, mainly to determine if acceleration thresholds are met. Many shock sensors are only mechanical, so the only way to know if the threshold has been reached is to physically check the device. There are noticeable advantages of using triboelectric transduction and bi-stability to create a shock sensor. By combining a buckled-beam structure and a triboelectric generator, we created a proof of concept of a tunable threshold shock sensor. The sensor generates a voltage peak only if the base acceleration is beyond a threshold. In addition, the sensor produces voltage proportional to the base acceleration beyond the threshold acceleration. This means the output signal provides more information about the strength of the shock that the device experiences. The sensor concept is illustrated for a threshold shock of 3.26g, but the threshold can be tuned by increasing the compressive axial force of the buckled beam. Increasing this axial force increases the threshold shock the sensor can detect. Thus, the combined system is a tunable threshold shock sensor with enhanced functionality. We presented a mathematical model that captures important observations of the experiments and can be used as a design tool for more precise, high-resolution triboelectric shock sensors.

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Exact Critical Loads for a Pinned Half-Sine Arch Under End Couples

Cited by 16 publications

References 2 publications

Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load

Effects of elastic foundation on the snap-through buckling of a shallow arch under a moving point load

In-plane elastic buckling of pin-ended shallow parabolic arches

Dynamics of a threshold shock sensor: Combining bi-stability and triboelectricity

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