TY - JOUR
T1 - Measuring the energy landscape
T2 - An experimental approach to the study of buckling in thin shells
AU - Lachmann, Sagy
AU - Rubinstein, Shmuel M.
N1 - Publisher Copyright:
© 2023 The Authors.
PY - 2023/4/3
Y1 - 2023/4/3
N2 - Recent research into the buckling load of thin shells has focused on local poking of the shell. In this approach, the shell is poked under load to extract its stability landscape, and a ridge tracking method is performed to estimate the buckling load of the shell. It is the current understanding that the stability landscape measures the local stability of the shell and, as a result, that the accuracy of ridge tracking greatly relies on the location of poking. Currently, there is no method that can predict where poking should be performed on an experimental system. Here, we examine the global response of thin shells to poking through the energy landscape. We present an experimental method for measuring the energy landscape of thin shells and demonstrate its application on a thin plate strip. We show that by analysing the dynamics of the shell in the energy landscape we can experimentally measure the buckling mode of the system, which gives the correct point of poking for accurate ridge tracking, and identify two kinds of buckling points. Finally, we propose how this approach can be applied to more complex systems such as thin cylinders. This article is part of the theme issue 'Probing and dynamics of shock sensitive shells'.
AB - Recent research into the buckling load of thin shells has focused on local poking of the shell. In this approach, the shell is poked under load to extract its stability landscape, and a ridge tracking method is performed to estimate the buckling load of the shell. It is the current understanding that the stability landscape measures the local stability of the shell and, as a result, that the accuracy of ridge tracking greatly relies on the location of poking. Currently, there is no method that can predict where poking should be performed on an experimental system. Here, we examine the global response of thin shells to poking through the energy landscape. We present an experimental method for measuring the energy landscape of thin shells and demonstrate its application on a thin plate strip. We show that by analysing the dynamics of the shell in the energy landscape we can experimentally measure the buckling mode of the system, which gives the correct point of poking for accurate ridge tracking, and identify two kinds of buckling points. Finally, we propose how this approach can be applied to more complex systems such as thin cylinders. This article is part of the theme issue 'Probing and dynamics of shock sensitive shells'.
KW - buckling
KW - energy landscape
KW - lateral probing
KW - poking
KW - ridge tracking
KW - stability landscape
UR - http://www.scopus.com/inward/record.url?scp=85147836914&partnerID=8YFLogxK
U2 - 10.1098/rsta.2022.0027
DO - 10.1098/rsta.2022.0027
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C2 - 36774957
AN - SCOPUS:85147836914
SN - 1364-503X
VL - 381
JO - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
JF - Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
IS - 2244
M1 - 20220027
ER -