scholarly journals Analytical solution and numerical simulation of vacuum consolidation by vertical drains beneath circular embankments

2016 ◽  
Vol 80 ◽  
pp. 83-96 ◽  
Author(s):  
Buddhima Indraratna ◽  
Mojtaba E. Kan ◽  
David Potts ◽  
Cholachat Rujikiatkamjorn ◽  
Scott W. Sloan
Keyword(s):  
Numerical Simulation ◽  
Analytical Solution ◽  
Vacuum Consolidation ◽  
Vertical Drains

scholarly journals An Equal-Strain Analytical Solution for the Radial Consolidation of Unsaturated Soils by Vertical Drains considering Drain Resistance

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Feng Zhou ◽  
Zheng Chen ◽  
Xudong Wang
Keyword(s):  
Analytical Solution ◽  
Unsaturated Soils ◽  
Ground Surface ◽  
Matrix Analysis ◽  
Governing Equations ◽  
Vertical Drains ◽  
Ground Surface Settlement ◽  
Parametric Studies ◽  
Strain Model ◽  
Good Agreement

Developing an analytical solution for the consolidation of unsaturated soils remains a challenging task due to the complexity of coupled governing equations for air and water phases. This paper presents an equal-strain model for the radial consolidation of unsaturated soils by vertical drains, and the effect of drain resistance is also considered. Simplified governing equations are established, and an analytical solution to calculate the excess pore-air and pore-water pressures is derived by using the methods of matrix analysis and eigenfunction expansion. The average degrees of consolidation for air and water phases and the ground surface settlement are also given. The solutions of the equal-strain model are verified by comparing the proposed free-strain model with the equal-strain model, and reasonably good agreement is obtained. Moreover, parametric studies regarding the drain resistance effect are graphically presented.

Added Stability Lobes in Machining Processes That Exhibit Periodic Time Variation, Part 1: An Analytical Solution

2004 ◽  
Vol 126 (3) ◽  
pp. 467-474 ◽  
Author(s):  
William T. Corpus ◽  
William J. Endres
Keyword(s):  
Numerical Simulation ◽  
Analytical Solution ◽  
Closed Form ◽  
High Speed ◽  
Stability Limit ◽  
Second Order ◽  
Machining Processes ◽  
Stability Lobes ◽  
Time Varying Systems ◽  
Computationally Intensive

An added family of stability lobes, which exists in addition to the traditional stability lobes, has been identified for the case of periodically time varying systems. An analytical solution of arbitrary order is presented that identifies and locates multiple added lobes. The stability limit solution is first derived for zero damping where a final closed-form symbolic result can be realized up to second order. The un-damped solution provides a mathematical description of the added lobes’ locations along the speed axis, an added-lobe numbering convention, and the asymptotes for the damped case. The derivation for the damped case permits a final closed-form symbolic result for first-order only; the second-order solution requires numerical evaluation. The easily computed analytical solution is shown to agree well with the results of the computationally intensive numerical simulation approach. An increase in solution order improves the agreement with numerical simulation; but, more importantly, it allows equivalently more added lobes to be predicted, including the second added lobe that cuts into the speed regime of the traditional high-speed stability peak.

Research on Stability Bearing Capacity for Pole and Tower Compression Members with Two Legs Connection

2012 ◽  
Vol 214 ◽  
pp. 315-319
Author(s):  
Xian Lei Cao
Keyword(s):  
Numerical Simulation ◽  
Analytical Solution ◽  
Bearing Capacity ◽  
Analytical Method ◽  
High Strength ◽  
Simulation Method ◽  
Elastic Theory ◽  
Numerical Simulation Method ◽  
Stability Bearing Capacity ◽  
Compression Members

In order to research the stability bearing capacity of high strength pole and tower compression members, analytical method and numerical simulation method were used to study stability on high strength axial compression members. Researched the impact of different slenderness ratio, different cross-section factors on the bearing capacity; energy relationship was using in analytical method, the boundary conditions issue is simplified according to different end restraint capacity; the failure modes and stability bearing capacity of members were studied by numerical simulation. Compared with the experimental results show that the numerical simulation and elastic theory analytical solution overestimate the capacity of members, but the numerical results have better agreement than the elastic theory analytical solution, which can show the numerical simulation method is right. Experiment method can obtain more secure mechanical behavior of high-strength angle steel member with axial loading.

scholarly journals DYNAMICS OF AN ELASTIC AIRPLANE

Aviation ◽  
2005 ◽  
Vol 9 (1) ◽  
pp. 8-13
Author(s):  
Peter Chudý ◽  
Vladimír Daněk
Keyword(s):  
Numerical Simulation ◽  
Analytical Solution ◽  
Time Domain ◽  
Aerospace Engineering ◽  
Elastic Response ◽  
Elastic Model ◽  
The Past ◽  
University Of Technology ◽  
Complex Simulation ◽  
The Time Domain

This paper presents the work performed by the Institute of Aerospace Engineering at the Brno University of Technology. The purpose of the project was to compare the results obtained from classical analytical solutions and a complex numerical simulation of an airplane's aero elastic response. Compared to the analytical solution, which reduces the entire process to a straightforward manipulation with time‐proven graphs and tables, the numerical simulation offers a more complex description of the dynamic processes. A complex simulation, in contrast to the analytical solution providing us with only one estimated parameter, allows monitoring selected quantities in the time domain, thus giving us a tool for a visual qualification of the investigated process. In the past, dynamic aeroelastic properties were estimated utilizing simplified stick beam models. The desire for more complex aero elastic simulations led to the concept of the advanced aero elastic model, coupling advanced 3D structural FEM models with proven aerodynamic theory in the form of the DLM panel method.

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