TY - JOUR
T1 - Form-finding of grid-shells using the ground structure and potential energy methods
T2 - a comparative study and assessment
AU - Jiang, Yang
AU - Zegard, Tomás
AU - Baker, William F.
AU - Paulino, Glaucio H.
N1 - Funding Information:
Acknowledgments The authors acknowledge the financial support from the US National Science Foundation (NSF) under projects #1559594 (formerly #1335160), which is a GOALI (Grant Opportunities for Academic Liaison with Industry) project with SOM (Skidmore, Owings & Merrill LLP), and project #1321661. Ms Haley Simms provided valuable comments that contributed to improve the manuscript. We are also grateful for the endowment provided by the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Publisher Copyright:
© 2017, Springer-Verlag GmbH Germany.
PY - 2018/3/1
Y1 - 2018/3/1
N2 - The structural performance of a grid-shell depends directly on the geometry of the design. Form-finding methods, which are typically based on the search for bending-free configurations, aid in achieving structurally efficient geometries. This manuscript proposes two form-finding methods for grid-shells: one method is the potential energy method, which finds the form in equilibrium by minimizing the total potential energy in the system; the second method is based on an augmented version of the ground structure method, in which the load application points become variables of the topology optimization problem. The proposed methods, together with the well-known force density method, are evaluated and compared using numerical examples. The advantages and drawbacks of the methods are reviewed, compared and highlighted.
AB - The structural performance of a grid-shell depends directly on the geometry of the design. Form-finding methods, which are typically based on the search for bending-free configurations, aid in achieving structurally efficient geometries. This manuscript proposes two form-finding methods for grid-shells: one method is the potential energy method, which finds the form in equilibrium by minimizing the total potential energy in the system; the second method is based on an augmented version of the ground structure method, in which the load application points become variables of the topology optimization problem. The proposed methods, together with the well-known force density method, are evaluated and compared using numerical examples. The advantages and drawbacks of the methods are reviewed, compared and highlighted.
KW - Form-finding
KW - Grid-shells
KW - Ground structure method
KW - Potential energy method
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U2 - 10.1007/s00158-017-1804-3
DO - 10.1007/s00158-017-1804-3
M3 - Article
AN - SCOPUS:85033361090
SN - 1615-147X
VL - 57
SP - 1187
EP - 1211
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
IS - 3
ER -