In this paper we consider an inverse problem for a damped vibration system from the noisy measured eigendata, where the mass, damping, and stiffness matrices are all symmetric positive definite matrices with the mass matrix being diagonal and the damping and stiffness matrices tridiagonal. To take into consideration the noise in the data, the problem is formulated as a convex optimization probl...

The stiffness of the extracellular matrix exerts powerful effects on cell proliferation and differentiation, but the mechanisms transducing matrix stiffness into cellular fate decisions remain poorly understood. Two widely reported responses to matrix stiffening are increases in actomyosin contractility and cell proliferation. To delineate their relationship, we modulated cytoskeletal tension i...

This paper investigates the stiffness characteristics of spherical parallel manipulators. By virtue of singular value decomposition, the 6×6 dimensionally inhomogeneous Cartesian stiffness matrix is transformed into two homogeneous ones, i.e., the rotational and translational stiffness matrices. The decomposed singular values and the corresponding vectors indicate the directions of high/weak st...

this study focuses on achieving high stiffness/strength and good fr characteristic of nylon 66/mca/nc nanocomposites, prepared via melt compounding by twin screw extruder. a synergistic effect of flame retardant systems based on melamine cyanurate and zinc borate on the flammability and mechanical behaviours of crysnanoclay reinforced nylon 66 nanocomposites have been reported. mechanical test ...

Hierarchical matrices provide a data-sparse way to approximate fully populated matrices. In this paper we exploit robust H-matrix techniques to approximate the resolvents of stiffness matrices as they appear in (finite element or finite difference) discretisations of elliptic partial differential equations.

In this paper we analyze convergence of basic iterative Jacobi and Gauss-Seidel type of methods for solving linear systems which result from finite element or finite volume discretization of convection-diffusion equations on unstructured meshes. In general the resulting stiffness matrices are neither M-matrices nor satisfy a diagonal dominance criterion. We introduce two new matrix classes and ...