Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables

The control parameter of the complex underground space structure with the Track Panel Tunnel and wall columns was studied. An analysis method of the control parameter was established based on the complementary energy principle with mixed variables. The general analytical solution of the structure un...

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Main Authors: Ying Li, Hongjian Liao
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/8/5051
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author Ying Li
Hongjian Liao
author_facet Ying Li
Hongjian Liao
author_sort Ying Li
collection DOAJ
description The control parameter of the complex underground space structure with the Track Panel Tunnel and wall columns was studied. An analysis method of the control parameter was established based on the complementary energy principle with mixed variables. The general analytical solution of the structure under the trapezoidal load was obtained. Then, the correctness of the solution was verified by two-dimensional finite element simulation. The three-dimensional global model is built to analyze models with different story heights, the distance of two adjacent wall columns, and the thickness of the earth covering; the consequences prove the assumptions’ rationality and the engineering applicability of the analytical solution. The sensitive region of the control parameter is found through the analytical solution, which is meaningful in determining the reasonable stiffness ratio of column and beam for structural design optimization with cost savings. It can be the reference for complex underground space engineering designs.
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spelling doaj.art-f6b899c423614878947456b51faed9402023-11-17T18:12:57ZengMDPI AGApplied Sciences2076-34172023-04-01138505110.3390/app13085051Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed VariablesYing Li0Hongjian Liao1Department of Civil and Architectural Engineering, Xi’an Jiaotong University City College, Xi’an 710018, ChinaSchool of Human Settlement and Civil Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaThe control parameter of the complex underground space structure with the Track Panel Tunnel and wall columns was studied. An analysis method of the control parameter was established based on the complementary energy principle with mixed variables. The general analytical solution of the structure under the trapezoidal load was obtained. Then, the correctness of the solution was verified by two-dimensional finite element simulation. The three-dimensional global model is built to analyze models with different story heights, the distance of two adjacent wall columns, and the thickness of the earth covering; the consequences prove the assumptions’ rationality and the engineering applicability of the analytical solution. The sensitive region of the control parameter is found through the analytical solution, which is meaningful in determining the reasonable stiffness ratio of column and beam for structural design optimization with cost savings. It can be the reference for complex underground space engineering designs.https://www.mdpi.com/2076-3417/13/8/5051metro stationTrack Panel Tunnelwall columncomplementary energy principlemixed variablessensitive region of stiffness ratio
spellingShingle Ying Li
Hongjian Liao
Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
Applied Sciences
metro station
Track Panel Tunnel
wall column
complementary energy principle
mixed variables
sensitive region of stiffness ratio
title Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
title_full Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
title_fullStr Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
title_full_unstemmed Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
title_short Study on the Control Parameter of the Complex Underground Space Engineering Based on the Complementary Energy Principle with Mixed Variables
title_sort study on the control parameter of the complex underground space engineering based on the complementary energy principle with mixed variables
topic metro station
Track Panel Tunnel
wall column
complementary energy principle
mixed variables
sensitive region of stiffness ratio
url https://www.mdpi.com/2076-3417/13/8/5051
work_keys_str_mv AT yingli studyonthecontrolparameterofthecomplexundergroundspaceengineeringbasedonthecomplementaryenergyprinciplewithmixedvariables
AT hongjianliao studyonthecontrolparameterofthecomplexundergroundspaceengineeringbasedonthecomplementaryenergyprinciplewithmixedvariables