Abstract：The distance-minimizing data-driven method is an emerging computational approach in computational mechanics, which transforms mechanical boundary value problems into functional extremum problems for solution. For this method, we have derived a computational framework applicable to the dynamic problems of small-deformation structures, and will further present an extended framework for finite-deformation structural dynamics. Using the finite-strain Green’s formula and the dynamic equilibrium equations as functional constraints, we apply the Lagrange multiplier method to formulate a system of nonlinear equations in terms of displacements and Lagrange multipliers. The system is then solved using the Newton–Raphson iterative method, with numerical solutions obtained through incremental and search iterations. The accuracy of the proposed framework is confirmed by nonlinear dynamic analyses of three benchmark examples.
2026, Vol. 47 
