Chapter
Jul 11, 2012
Elastic Stability of Symmetric Dome Structures Using Group Theory
Authors: Y. Chen [email protected], J. Feng [email protected], L. Zhuang, and S. XiaAuthor Affiliations
Publication: Earth and Space 2012: Engineering, Science, Construction, and Operations in Challenging Environments
Abstract
The buckling behavior has an important effect on the performance of a dome structure. The computational time for the buckling problem will significantly rise, if a complex structure with considerable nodes and elements is concerned. This study develops an efficient method for the elastic stability for dome structures having high-order symmetry properties. Based on group theory, the elastic stiffness matrix and the geometric stiffness matrix are expressed in symmetry-adapted coordinate systems and decomposed into many sub-matrices. Then the eigenvalue buckling problem associated with the matrices is decomposed into many independent problems with smaller dimensions. To describe the general procedure for the proposed technique using the symmetry method, analyses on the stability of several highly symmetric dome structures are carried out. The results are compared to the corresponding ones obtained by the conventional numerical methods and using ABAQUS, to validate the computational accuracy. We will also prove the proposed method is efficient, by comparing the computational efforts with those cost by the other methods.
Get full access to this chapter
View all available purchase options and get full access to this chapter.
Information & Authors
Information
Published In
Copyright
© 2012 American Society of Civil Engineers.
History
Published online: Jul 11, 2012
Permissions
Request permissions for this article.
Authors
Affiliations
School of Civil Engineering, Southeast University, Nanjing, 210096, China. E-mail: [email protected]
Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing, 210096, China. E-mail: [email protected]
L. Zhuang
School of Civil Engineering, Southeast University, Nanjing, 210096, China
S. Xia
School of Civil Engineering, Southeast University, Nanjing, 210096, China
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
View Options
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Get Access
Access content
Please select your options to get access
Log in/Register
Log in via your institution (Shibboleth)
ASCE Members:
Please log in to see member pricing
Purchase
Save for later Item saved, go to cart Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.