Sentence examples similar to vector of displacement from inspiring English sources

Let u be the vector of displacements of the structure on the surface.

where U C i T is a vector of displacements in contact nodes of i th part.

Let us consider a method for computing matrix K C. We divide whole displacement vector into two parts: U = ( U C U R ), where U C is vector of displacements in junction area, U R is vector of displacements in all other nodes.

where M and S represent the mass and stiffness matrices, u the vector of displacements or degrees of freedom (DOF) of each node, and p the vector of loads for each DOF.

For such a vector of displacements full reduced rigidity matrix takes a following appearance: K C = ( K C 1 0 ⋯ 0 0 K C 2 ⋯ 0 ⋯ ⋯ ⋯ ⋯ 0 0 ⋯ K C n ), (12).

Represents the element stiffness matrix, while ∆q and R are vectors of displacement increments and residual forces, respectively; and L denotes the elements length (Limkatanyu and Spacone 2002).

[M e ] and represent the element mass and stiffness matrices corresponding to the vector of mechanical displacement.

Atom i is fixed in the 3D point r i ; it has an instantaneous dipole moment ex i, where e is the elementary charge and x i the 3D vector of instantaneous displacement (whose equilibrium value is zero).

The degree of forward movement is defined as follows: (3)where i is the index of cells, is the x component of the unit vector of cell displacement per 10 minutes, and N is the total number of cells in the observation window.

In general, K ∼ T depends on the vector of node displacements q, i.e. (2) K ∼ T ≔ K ∼ T (q.

The strain energy density at each integration point can be expressed by the finite element solutions as (9) U ^ i = 1 2 d e T B e T D e B e d e, where { d} is the displacement vector consisting of displacements at the nodes of Element e; matrix [ B] consists of the derivatives of shape functions of the element; and [ D] is the material property matrix.