Hybrid Discrete-Continuum Approach to Model Hydromechanical Behavior of Soil during Desiccation

Telescopic cranes are usually steel beam systems carrying a load at the tip while comprising at least one constant and one moving part. In this work, an analytical model suitable for the dynamic analysis of telescopic cranes boom is presented. The system considered herein is composed — without losing generality — of two beams. The first one is a jut-out beam on which a variable in time force is moving with constant velocity and the second one is a cantilever with length varying in time that is subjected to its self-weight and a force at the tip also changing with time. As a result, the eigenfrequencies and modal shapes of the second beam are also varying in time. The theoretical formulation is based on a continuum approach employing the modal superposition technique. Various cases of telescopic cranes boom are studied and the analytical results obtained in this work are tabulated in the form of dynamic response diagrams.

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On the range of validity of the continuum approach for nonlinear diffusional mixing of multilayers

Philosophical Magazine A ◽

10.1080/014186199251689 ◽

1999 ◽

Vol 79 (8) ◽

pp. 1757-1768 ◽

Cited By ~ 2

Author(s):

Z. ERDELYI, D. L. BEKE, P. NEMES, G. A

Keyword(s):

Continuum Approach ◽

The Continuum

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Hydromechanical Behavior of a Synthetic Homogenous Carbonate Rock During Direct Shear

Procedia Engineering ◽

10.1016/j.proeng.2017.05.248 ◽

2017 ◽

Vol 191 ◽

pp. 811-820 ◽

Cited By ~ 1

Author(s):

Ausama Giwelli ◽

Lionel Esteban ◽

Vincent Lemiale ◽

Claudio Delle Piane ◽

M. Ben Clennell ◽

...

Keyword(s):

Carbonate Rock ◽

Direct Shear ◽

Hydromechanical Behavior

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Validity of the continuum approach to optical phonons in short-period superlattices

Journal of Physics Condensed Matter ◽

10.1088/0953-8984/2/19/005 ◽

1990 ◽

Vol 2 (19) ◽

pp. 4363-4369 ◽

Cited By ~ 26

Author(s):

F Bechstedt ◽

H Gerecke

Keyword(s):

Optical Phonons ◽

Continuum Approach ◽

Short Period ◽

Short Period Superlattices ◽

The Continuum

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Liouville quantum gravity — holography, JT and matrices

Journal of High Energy Physics ◽

10.1007/jhep01(2021)073 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Thomas G. Mertens ◽

Gustavo J. Turiaci

Keyword(s):

String Theory ◽

Generating Functions ◽

Preliminary Evidence ◽

Quantum Deformation ◽

Dilaton Gravity ◽

Continuum Approach ◽

Genus Zero ◽

Explicit Formulas ◽

Liouville Gravity ◽

The Continuum

Abstract We study two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. We find explicit formulas describing the gravitational dressing of bulk and boundary correlators in the disk. Their structure has a striking resemblance with observables in 2d BF (plus a boundary term), associated to a quantum deformation of SL(2, ℝ), a connection we develop in some detail. For the case of the (2, p) minimal string theory, we compare and match the results from the continuum approach with a matrix model calculation, and verify that in the large p limit the correlators match with Jackiw-Teitelboim gravity. We consider multi-boundary amplitudes that we write in terms of gluing bulk one-point functions using a quantum deformation of the Weil-Petersson volumes and gluing measures. Generating functions for genus zero Weil-Petersson volumes are derived, taking the large p limit. Finally, we present preliminary evidence that the bulk theory can be interpreted as a 2d dilaton gravity model with a sinh Φ dilaton potential.

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