# Lagrangian dynamics

## Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics

This work proposes a model-reduction methodology that preserves Lagrangian structure and achieves computational efficiency in the presence of high-order nonlinearities and arbitrary parameter dependence. As such, the resulting reduced-order model …

## Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics

This work proposes a model-reduction methodology that both preserves Lagrangian structure and leads to computationally inexpensive models, even in the presence of high-order nonlinearities. We focus on parameterized simple mechanical systems under …