2 papers
math.NA2024
The weak form of the SDOF and MDOF equation of motion, part II: A numerical method for the SDOF problem
Nikolaos Karaliolios, Dimitiros L. Karabalis
A new, more efficient, numerical method for the SDOF problem is presented. Its construction is based on the weak form of the equation of motion, as obtained in part I of the paper,…
math.NA2024
The weak form of the SDOF and MDOF equation of motion, part I: Theory
Nikolaos Karaliolios, Dimitrios L. Karabalis
The weak form of the SDOF and MDOF equations of motion are obtained. The original initial conditions problem is transformed into a boundary value problem. The boundary value proble…