The Equivalence Proof of Two Methods for Foundation Excitation

Yun Ying Ma; Jin Duan; Hong Shao

doi:10.4028/www.scientific.net/AMM.638-640.684

Paper Titles

Study on Load-Bearing Mechanism of Stabilizing Pile-Groups by FEM and its Application
p.656

Analysis on Reliability of Load Test on Bearing Capacity of Foundation Piles
p.671

Finite Element Study of Settlement of Cement Mixing Composite Foundation and Non-Probabilistic Reliability Analysis
p.675

Modeling Slope Anchor Reinforcement Using Enhanced Discontinuous Deformation Analysis Method (EDDA) with Natural Neighbor Interpolation
p.680

The Equivalence Proof of Two Methods for Foundation Excitation
p.684

Quantitative Characteristic of Meso-Damage Granite under Cyclic Loading with Different Frequencies
p.690

Research of Deformation Characteristics of Long-Short Pile Composite Foundation under Rigid Foundation
p.694

Pushover Analysis of Square Double-Column Piers with Considering the Pile-Soil-Structure Interaction
p.699

The Risk Management Practice of a Deep Foundation Pit Project
p.703

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 638-640The Equivalence Proof of Two Methods for...

The Equivalence Proof of Two Methods for Foundation Excitation

Abstract:

In this paper, the two methods for the finite element analysis of foundation excitation would be proved mathematically equivalent. Although the two methods, i.e. the method of degree-of-freedom transformation and the Lagrange multiplier method, are absolutely different in appearance, but their mathematical essence would be proved completely identical. In other words, although the equations derived from the two methods have different degree-of-freedoms, i.e. the latter much more than the former, while in essence they could be deduced from each other and vice versa. And finally a numerical example will be presented and discussed to demonstrate the correctness of the present theory.

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Periodical:

Applied Mechanics and Materials (Volumes 638-640)

Pages:

684-689

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.638-640.684

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Cite this paper

Online since:

September 2014

Authors:

Yun Ying Ma, Jin Duan, Hong Shao*

Keywords:

DOF Transformation, FEA, Foundation Excitation, Lagrange Multiplier

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