Matrix stiffness that is sensed by a cell or measured by a purely physical probe reflects the intrinsic elasticity of the matrix and also how thick or thin the matrix is. Here, mesenchymal stem cells (MSCs) and their nuclei spread in response to thickness-corrected matrix microelasticity, with increases in nuclear tension and nuclear stiffness resulting from increases in myosin-II and lamin-A,C...

First, the equations for calculating the full mass, stiffness and damping matrices from modal data are derived. This deviation was first presented in [1]. However, these equations are difficult to solve because the first step of their solution requires matrix inversion of the flexibility matrix to obtain the stiffness matrix. Not only does matrix inversion amplify errors, but the number of line...

Composite materials containing particulate BaTiO3 inclusion have been fabricated with BaZrO3-ZnO as the matrix. Giant anelastic responses (abrupt increase in modulus and damping vs. temperature) have been observed after 75 ◦C aging 24 h in these composites in the temperature region far below the Curie point of BaTiO3. Anomalies disappeared after 185 ◦C aging 4 h. Such responses are attributed t...

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...

The paper presents a methodology to enhance the stiffness analysis of parallel manipulators with parallelogram-based linkage. It directly takes into account the influence of the external loading and allows computing both the non-linear “load-deflection” relation and relevant rankdeficient stiffness matrix. An equivalent bar-type pseudo-rigid model is also proposed to describe the parallelogram ...

The direct problem of free vibration analysis via finite-element formulation is well known: the element mass and stiffness matrices are assembled to form the system mass and stiffness matrices; the problem is reduced to standard eigenvalue form; the eigenvalues and eigenvectors are found. The paper discusses some inverse problems relating to finite-element formulations for simple chain-like str...

This paper analyzes the effect of large wave numbers on the wavelet method for integral equations arising in electromagnetic applications. It is shown that the compression of the stiffness matrix deteriorates with increasing wave number, a characteristic that has been reported before in the literature. Here, however, the exact dependence on the wave number is calculated analytically for the two...

In this paper we will present an adaptive wavelet scheme to solvethe generalized Stokes problem. Using divergence free wavelets, theproblem is transformed into an equivalent matrix vector system, thatleads to a positive definite system of reduced size for thevelocity. This system is solved iteratively, where the applicationof the infinite stiffness matrix, that is sufficiently compressible,is r...

This paper gives a simple derivation of the tangent stiffness matrix for a prestressed pinjointed structure: the stiffness is found by differentiating equilibrium expressions at nodes of the structure with respect to the position of the nodes. It uses this derivation to compare the diverse formulations that are applied to understanding the mechanics of prestressed structures by different academ...