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| Distance-minimizing data-driven method for solving structural dynamic response |
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Abstract As a new paradigm of computational mechanics, distance minimizing data-driven method has significant advantages in predicting structural mechanics behavior. This method directly inputs the discrete material datasets (a set of stress-strain pairs), bypasses the conventional empirical constitutive modeling. The boundary value problem is solved by defining the distance functional from the solution set to the material dataset, and searching the functional extreme value from the material dataset to satisfy the strain-displacement relationship and the equilibrium equation. The distance minimizing data-driven method has been successful in solving undamped vibration problems, but it cannot be used for damped vibration problems. This study adopts the structural dynamic equilibrium equation with damping term as the constraint condition of the distance functional, uses the final value at the previous time step as the initial value at the current time step to replace the random initial value scheme, proposes a distance minimizing data-driven method for solving the structural dynamic response. Taking single-degree-of-freedom system and multi-degree-of-freedom truss as examples, the effectiveness and efficiency of the proposed method are verified by the dynamic response analysis of linear and nonlinear materials.
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Received: 31 August 2024
Published: 23 April 2025
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Corresponding Authors:
Sheng dongfa
E-mail: shengdf@swfu.edu.cn
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2025, Vol. 46 
