TY - JOUR
T1 - Steady-state response of rectangular plate with four free edges supported at internal points
AU - Cao, Liang
AU - Chen, Y. Frank
AU - Liu, Jiepeng
N1 - Funding Information:
The authors are grateful to the supports provided by the National Natural Science Foundation of China (Grant No. 51908084) and Natural Science Foundation of Chongqing, China (Project No. cstc2019jcyj-bshX0013).
Funding Information:
The authors are grateful to the supports provided by the National Natural Science Foundation of China (Grant No. 51908084 ) and Natural Science Foundation of Chongqing , China (Project No. cstc2019jcyj-bshX0013 ).
Publisher Copyright:
© 2020 Institution of Structural Engineers
PY - 2020/8
Y1 - 2020/8
N2 - The steady-state response of a rectangular plate with four free edges supported at internal points subjected to external force is determined. The general analytical solution is obtained by a hybrid method that decomposes the original structure into four basic rectangular plates with different boundary conditions. A numerical example is presented to show that the high-degree accuracy can be gained with a small effort of calculations using the theoretical solution. Sensitivity studies using the analytical solution were also conducted to investigate the effects of load magnitude, sectional dimension (or area), bending stiffness of rectangular plate, and location of internal point on the support reaction, displacement, bending moment, and shear force of rectangular plate.
AB - The steady-state response of a rectangular plate with four free edges supported at internal points subjected to external force is determined. The general analytical solution is obtained by a hybrid method that decomposes the original structure into four basic rectangular plates with different boundary conditions. A numerical example is presented to show that the high-degree accuracy can be gained with a small effort of calculations using the theoretical solution. Sensitivity studies using the analytical solution were also conducted to investigate the effects of load magnitude, sectional dimension (or area), bending stiffness of rectangular plate, and location of internal point on the support reaction, displacement, bending moment, and shear force of rectangular plate.
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U2 - 10.1016/j.istruc.2020.04.035
DO - 10.1016/j.istruc.2020.04.035
M3 - Article
AN - SCOPUS:85084056642
SN - 2352-0124
VL - 26
SP - 417
EP - 426
JO - Structures
JF - Structures
ER -