Table 1 The summary of loading conditions for beam structure

From: Multi-level physics informed deep learning for solving partial differential equations in computational structural mechanics

Load and constraints

Case 1

Case 2

Case 3

Case 4

x/l = 0

x/l = 1

x/l = 0

x/l = 1

x/l = 0

x/l = 1

x/l = 0

x/l = 1

ω

0

0

0

0

0

1

0

0

θ

/

/

0

0

0

0

0

1

q

−1

−1

0

0

  1. Notes: The symbols ω and θ represent the displacement and rotational angle constraints imposed on the two ends of the beam, respectively (i.e., x/l = 0 and x/l = 1 where l represents the length of the beam). The symbol q represents the vertical uniform force acting on the beam. Note that the values provided in the table are nondimensionalized.
Back to article page