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Stiffness matrix and quantitative measure of formation rigidity
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, 2009Rigidity of formation is an important concept in multi-agent localization and control problems. There are well-developed existing methods to test rigidity of a given graph. However, little work is done on quantitative measurement of formation rigidity.
Guangwei Zhu, Jianghai Hu
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Note on the normal form of a spatial stiffness matrix
IEEE Transactions on Robotics and Automation, 2001There has been some recent interest in the problem of designing compliance mechanisms with a given spatial stiffness matrix. A key result that has proven useful in the design of such mechanisms is Loncaric's normal form. When a spatial stiffness matrix is described in an appropriate coordinate frame, it will have a particularly simple structure.
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The role of matrix stiffness in regulating cell behaviorâ€
Hepatology, 2008Matrix stiffness (resistance to deformation), one of the many mechanical forces acting on cells, is increasingly appreciated as an important mediator of cell behavior. It regulates cell signaling broadly, with effects on growth, survival, and motility. Although the stiffness optima for different kinds of adherent cells vary widely, it is generally true
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Rank and Degeneracy of Stiffness Matrix
1972In order to determine the degree of degeneracy and the rank of the stiffness matrices let us consider the equilibrium of the system. Since the loads acting on the system are in equilibrium, the following equation must always be satisfied.
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Assembling the System Stiffness Matrix
2016Having decomposed the structures into nodes and elements, it is clear that knowing the nodal displacements will give us the internal loads in the elements. The displacements at the closed degrees of freedom are known, but we must still compute the displacements at the open degrees of freedom.
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The stiffness of extracellular matrix in regulating cellular metabolism
American Journal of Physiology-Cell PhysiologyCells interact dynamically with the extracellular matrix (ECM), which provides both structural support and biochemical signals that regulate various cellular processes. Among these, the mechanical properties of the ECM, particularly stiffness, play a crucial role in governing cell differentiation, migration, and survival.
Boyang Zha, Chunlei Zhang, Congying Wu
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A Stiffness Matrix for the Analysis of Thin Plates in Bending
Journal of the Aerospace Sciences, 1961A stiffness matrix is developed for an isotropic rectangular plate panel of uniform thickness for application to the analysis of thin plates of variable thickness in bending. The convergence characteristics of this matrix are demonstrated on simple problems with known exact, analog, and experimental solutions.
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Matrix stiffness and its influence on pancreatic diseases
Biochimica Et Biophysica Acta: Reviews on Cancer, 2021Wunai Zhang +2 more
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