By contrast, upon applying the large penalty factor, the direct-enforcing method is achieved by directly solving the equations of motion without the breakdown of the system motion.
The indirect-enforcing method is derived by decomposing whole system motion into free structural motion and constrained base motion, with the structural motion divided into two parts to simplify the input of base motion.
Modal analysis for the direct-enforcing method is conducted to investigate the characteristics of frequency and mode properties in the extreme low/high frequency domains using the Jacobi method and the frequency shift technique.
Representing description in the form of system networks enforces order: the method is designed to create explicit and non-ambiguous relations across the options.
Strong control of the overall type 1 familywise error rate of the proposed method is enforced by the closed testing principle.
In the case of fast dynamics (relative to the time-step), such as the longitudinal extension of biological filaments or the resolution of collisions, the PAIRS method is essentially enforcing a rigid constraint (e.g. no filament elongation, no impingement of rigid bodies) in a pairwise manner.
The advantage of the proposed method is to detect enforced displacements for deformation of the brain.
Also, the Lagrange multiplier method is adopted to enforce the contact constraints.
The Lagrange multiplier method is employed to enforce the essential boundary conditions.
The constrained transport method is used to enforce the divergence-free constraint on the magnetic field.
For static analysis, a penalty method is presented to enforce the essential boundary conditions.
