TY - CHAP
T1 - Worst imperfection (I)
AU - Ikeda, Kiyohiro
AU - Murota, Kazuo
PY - 2019/1/1
Y1 - 2019/1/1
N2 - The critical load of a system undergoing bifurcation, such as domes and shells, is highly sensitive to imperfections. It is important to capture the “worst imperfection” that reduces the critical load of this system most rapidly. This chapter presents a procedure to determine the worst pattern of imperfections. This procedure is applied to a truss dome structure. Chapter 3, “Imperfection Sensitivity Laws,” is a foundation of this chapter, and this chapter is extended to a system with group symmetry in Chap. 10.
AB - The critical load of a system undergoing bifurcation, such as domes and shells, is highly sensitive to imperfections. It is important to capture the “worst imperfection” that reduces the critical load of this system most rapidly. This chapter presents a procedure to determine the worst pattern of imperfections. This procedure is applied to a truss dome structure. Chapter 3, “Imperfection Sensitivity Laws,” is a foundation of this chapter, and this chapter is extended to a system with group symmetry in Chap. 10.
KW - Bifurcation equation
KW - Critical point
KW - Imperfection
KW - Imperfection sensitivity
KW - Limit point
KW - Pitchfork bifurcation
KW - Transcritical bifurcation
KW - Truss dome
KW - Worst imperfection
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U2 - 10.1007/978-3-030-21473-9_4
DO - 10.1007/978-3-030-21473-9_4
M3 - Chapter
AN - SCOPUS:85073147173
T3 - Applied Mathematical Sciences (Switzerland)
SP - 101
EP - 120
BT - Applied Mathematical Sciences (Switzerland)
PB - Springer
ER -