FigureĀ 15
A graph showing displacement and strain versus time for four nodes, with labeled curves for each node's response.The graph displays two datasets over time for four nodes, labeled A (black), B (blue), C (red), and D (green). The horizontal axis represents time (t) per (1 times 10 to the 3 power seconds), with values ranging from 0 to 40, divided into increments of 10 units. The vertical axis on the left shows displacement (u) in millimeters, ranging from 0 to 12 with an interval of 4 units, while the vertical axis on the right shows relative strain (epsilon subscript rel) in percentage, ranging from negative 5 to 10 percent with an interval of 10 units. The solid lines represent displacement (u in millimeters), and the dotted lines represent strain (epsilon subscript rel in percentage). The black solid curve starts from (0, 0), rises towards the right, passes through (6.187, 2.826), (15.36, 10.512), decreases to (20, 0), and again increases through (28.06, 5.355), (35.387, 2.826), and ends at (40, 7.636). The blue solid curve starts from (0, 0), rises towards the right, passes through (6.187, 2.826), (15.142, 10.264), decreases to (20, 0), and again increases through (28.277, 5.207), (35.387, 2.826), and ends at (40, 7.636). The red solid curve starts from (0, 0), rises towards the right, passes through (6.404, 2.876), (14.98, 9.025), decreases to (20, 0), and again increases through (26.866, 4.512), (35.115, 2.43), and ends at (40, 6.744). The green solid curve starts from (0, 0), rises towards the right, passes through (8.033, 1.587), (15.142, 2.678), decreases to (20, 0), and again increases through (26.92, 1.388), (34.953, 0.744), and ends at (40, 2.083). The dashed gray line follows the same path as each solid curve. The black dotted curve starts from (0.651, 11.426), decreases towards the right with fluctuation forming multiple peaks and troughs, passes through (2.334, negative 0.537), (17.313, 4.483), (18.725, negative 3.264), and ends at (19.484, 11.426). Then again starts from (20.461, negative 6.116), which passes through (23.664, 4.793), (34.844, 2.872), and ends at (40, 0.888). The blue dotted curve starts from (0.218, 11.426), decreases towards the right with fluctuation forming multiple peaks and troughs, passes through (2.497, negative 0.289), (17.476, 3.492), (18.779, negative 2.273), and ends at (19.484, 11.426). Then again starts from (20.841, negative 6.116), which passes through (23.609, 3.74), (36.093, 2.376), and ends at (40, 0.888). The red dotted curve starts from (0, 3.306), decreases towards the right with fluctuation forming multiple peaks and troughs, passes through (2.497, negative 0.227), (14.925, 0.702), (18.616, negative 1.281), and ends at (19.864, 11.426). Then again starts from (20.407, negative 6.116), which passes through (21.33, 1.818), (32.456, 1.012), and ends at (40, 0.207). The green dotted curve starts from (0, 4.36), decreases towards the right with small fluctuation forming small multiple peaks and troughs, passes through (7.381, negative 3.368), (18.833, 3.12), peaking at (20.027, 10.372), and then passes through (25.129, 3.368), (35.984, 3.492), and ends at (40, 3.43). Note: All numerical data values are approximated.

Displacements of the evaluation nodes over time of the excited component. Solid lines depict the surrogate solution, the dashed grey lines next to them are the solution of the full model. The dotted lines describe the relative error on the right vertical axis. Source: Authors’ own work

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