How tall can gelatin towers be? An introduction to elasticity and buckling

Taberlet, Nicolas; Ferrand, Jérémy; Camus, Élise; Lachaud, Léa; Plihon, Nicolas

doi:10.1119/1.5009667

Cited by 8 publications

(2 citation statements)

References 23 publications

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“…The Young's moduli span a range from 2.06 kPa for the 0.10 g/ml gelatin gel up to 33.95 kPa for 0.40 g/ml gelatin. Within error limits, the Young's moduli show an almost linear increase with the gelatin concentration, which is in accordance with the literature [62,63]. Here we excluded the last data point at 0.40 g/ml from the linear fit, because its Young's modulus is lower than that at 0.35 g/ml.…”

Section: Vibrational Analysis Of Hydrogel Samplessupporting

confidence: 90%

Contactless Vibrational Analysis of Transparent Hydrogel Structures Using Laser-Doppler Vibrometry

et al. 2020

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Background Investigating the mechanical properties of biological and biocompatible hydrogels is important in tissue engineering and biofabrication. Atomic force microscopy (AFM) and compression testing are routinely used to determine mechanical properties of tissue and tissue constructs. However, these techniques are slow and require mechanical contact with the sample, rendering in situ measurements difficult. Objective We therefore aim at a fast and contactless method for determining the mechanical properties of biological hydrogels and investigate if an optical method, like Laser-Doppler vibrometry (LDV), can accomplish this task. Methods LDV is a fast contactless method for mechanical analysis. Nonetheless, LDV setups operating in the visible range of the optical spectrum are difficult to use for transparent materials, such as biological hydrogels, because LDV relies on reflected or back-scattered light from the sample. We therefore use a near-infrared (NIR) scanning LDV to determine the vibration spectra of cylindrical gelatin discs of different gelatin concentration and compare the results to AFM data and unconfined compression testing. Results We show that the gelatin test structures can be analyzed, using a NIR LDV, and the Young’s moduli can be deduced from the resonance frequencies of the first normal (0,1) mode of these structures. As expected, the frequency of this mode increases with the square root of the Young’s modulus and the damping constant increases exponentially with gelatin concentration, which underpins the validity of our approach. Conclusions Our results demonstrate that NIR wavelengths are suitable for a fast, contactless vibrational analysis of transparent hydrogel structures.

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Section: Vibrational Analysis Of Hydrogel Samplessupporting

confidence: 90%

Contactless Vibrational Analysis of Transparent Hydrogel Structures Using Laser-Doppler Vibrometry

et al. 2020

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“…Beam theory is a core component of undergraduate and graduate courses in statics and elasticity [1][2][3][4][5]. It is also an optional component of a course on differential equations, in which case it provides a natural example of a high order ordinary differential equation boundary value problem.…”

Section: Introductionmentioning

confidence: 99%

Helicopter blade droop as an application of simple beam theory

Shayak¹

2019

Eur. J. Phys.

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It is a commonly observed fact that the blades of a helicopter droop under their own weight when the aircraft is static but become almost straight when they start spinning. This phenomenon is commonly attributed to ‘rotational stiffness’. In this short article we present a simple calculation for the shape of the blades of a helicopter in static and rotating condition. We show that the deflection or droop of the tip of the blade reduces by a factor of about 30 when it changes from static to full-speed rotation. This calculation is at the undergraduate level and can complement a course in differential equations, elementary statics or elasticity theory.

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3D‐Printed Mechano‐Optic Force Sensor for Soft Robotic Gripper Enabled by Programmable Structural Metamaterials

Hegde,

Mysa,

Chooi

et al. 2024

Advanced Intelligent Systems

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Rapid deployment of automation in today's world has opened up exciting possibilities in the realm of design and fabrication of soft robotic grippers endowed with sensing capabilities. Herein, a novel design and rapid fabrication by 3D printing of a mechano‐optic force sensor with a large dynamic range, sensitivity, and linear response, enabled by metamaterials‐based structures, is presented. A simple approach for programming the metamaterial's behavior based on mathematical modeling of the sensor under dynamic loading is proposed. Machine learning models are utilized to predict the complete force–deformation profile, encompassing the linear range, the onset of nonlinear behavior, and the slope of profiles in both bending and compression‐dominated regions. The design supports seamless integration of the sensor into soft grippers, enabling 3D printing of the soft gripper with an embedded sensor in a single step, thus overcoming the tedious and complex and multiple fabrication steps commonly applied in conventional processes. The sensor boasts a fine resolution of 0.015 N, a measurement range up to 16 N, linearity (adj. R2–0.991), and delivers consistent performance beyond 100 000 cycles. The sensitivity and range of the embedded mechano‐optic force sensor can be easily programmed by both the metamaterial structure and the material's properties.

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How tall can gelatin towers be? An introduction to elasticity and buckling

Cited by 8 publications

References 23 publications

Contactless Vibrational Analysis of Transparent Hydrogel Structures Using Laser-Doppler Vibrometry

Contactless Vibrational Analysis of Transparent Hydrogel Structures Using Laser-Doppler Vibrometry

Helicopter blade droop as an application of simple beam theory

3D‐Printed Mechano‐Optic Force Sensor for Soft Robotic Gripper Enabled by Programmable Structural Metamaterials

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