Exact(2)
This problem yields the contact forces, friction forces, boundary condition Lagrange multipliers, fluid solid coupling terms, and bilateral constraint Lagrange multipliers.
In a similar vein, in an elastic structure where a (smooth and bilateral) constraint can move and release energy, a force driving the configuration is generated, which therefore is called by analogy 'Eshelby-like' or 'configurational'configurational
Similar(58)
The presented model can be used to predict and tune the post-buckling response of the axially loaded MCF subjected to irregularly bilateral constraints.
The program constraint is an input to a kind of a motion planning system, which has been based on a generalized motion equation method suitable for systems with bilateral constraints of arbitrary orders.
Next, the first-order techniques are generalized to the Richard's type model of unsaturated porous medium flows, representing the general case of a nonlinear parabolic equation endowed with the space dependent bilateral constraints.
The additional bilateral constraints are efficiently dealt with employing a discrete null space reduction (including a projection and a local reparametrisation step) which considerably reduces the number of unknowns and improves the condition number during each time-step as compared to a standard treatment with Lagrange multipliers.
The size effect is considered by the material length scale factor l, the shape asymmetry is taken into account using the non-prismatic bending stiffness Bm(x), and the bilateral constraints are solved using an energy method that minimizes the total energy of the deflected microbeams.
The proposed method translates the typical bilateral force constraints of the cables (i.e. positive and bounded tensions) into constraints on the velocity and acceleration of the CDDR end-effector along the path.
The method is analysed in detail in context of bilateral sliding constraints characteristic of prismatic and cylindrical joints in flexible beam assemblies undergoing large overall motion.
This chapter describes an approach for the dynamic simulation of large collections of rigid bodies interacting through millions of frictional contacts and bilateral mechanical constraints.
We start with a differential variational framework to handle the solid phase; i.e., the multi-body dynamics problem in the presence of contact, friction, and bilateral kinematic constraints.
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