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searching for Stiffness matrix 33 found (52 total)

Computational mechanics (604 words) [view diff] no match in snippet view article find links to article

Computational mechanics is the discipline concerned with the use of computational methods to study phenomena governed by the principles of mechanics. Before

Matrix method (41 words) [view diff] exact match in snippet view article find links to article

applications in civil engineering. The method is carried out, using either a stiffness matrix or a flexibility matrix. Direct stiffness method Flexibility method

Finite element method in structural mechanics (2,305 words) [view diff] exact match in snippet view article find links to article

matrix analysis of structures where the concept of a displacement or stiffness matrix approach was introduced. Finite element concepts were developed based

Hp-FEM (1,897 words) [view diff] exact match in snippet view article find links to article

choice of such a set can influence dramatically the conditioning of the stiffness matrix, and in turn the entire solution process. Automatic hp-adaptivity:

Transverse isotropy (4,048 words) [view diff] exact match in snippet view article find links to article

\0&0&0&0&C_{44}&0\\0&0&0&0&0&C_{66}\end{bmatrix}}.} The elasticity stiffness matrix C i j {\displaystyle C_{ij}} has 5 independent constants, which are

Extended finite element method (446 words) [view diff] exact match in snippet view article find links to article

tool of choice since civil engineer Ray W. Clough in 1940 derived the stiffness matrix of a 3-node triangular finite element (and coined the name). The precursors

Ritz method (2,435 words) [view diff] exact match in snippet view article find links to article

{T}}M\mathbf {c} } where K {\displaystyle K} and M {\displaystyle M} are the stiffness matrix and mass matrix of a discrete system respectively. The minimization

Stewart platform (1,280 words) [view diff] exact match in snippet view article find links to article

Laible, Jeffrey P. (2002). "Measurement of a spinal motion segment stiffness matrix". Journal of Biomechanics. 35 (4): 517–521. CiteSeerX 10.1.1.492.7636

Nkemakonam Nwolisa Osadebe (1,233 words) [view diff] case mismatch in snippet view article find links to article

lateritic concrete" Anyaegbunam, A.J. & N. N. Osadebe, "The Dynamic Stiffness Matrix Of A Beam-Column Element" BO Mama & NN Osadebe, “Comparative Analysis

Linearization (1,434 words) [view diff] exact match in snippet view article find links to article

electromagnetic, mechanical and acoustic fields. Linear stability Tangent stiffness matrix Stability derivatives Linearization theorem Taylor approximation Functional

Modal analysis using FEM (701 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [C]} is a damping matrix, [ K ] {\displaystyle [K]} is the stiffness matrix, and [ F ] {\displaystyle [F]} is the force vector. The general problem

Elastic modulus (1,477 words) [view diff] exact match in snippet view article find links to article

properties of materials. These constants form the elements of the stiffness matrix in tensor notation, which relates stress to strain through linear equations

Response amplitude operator (1,158 words) [view diff] exact match in snippet view article find links to article

dependent), C {\displaystyle C} is the restoring force coefficient (stiffness matrix) and F ( ω ) {\displaystyle F(\omega )} is the harmonic excitation

Structural analysis (3,015 words) [view diff] exact match in snippet view article find links to article

relation. The assemblage of the various stiffness's into a master stiffness matrix that represents the entire structure leads to the system's stiffness

Index of physics articles (T) (2,030 words) [view diff] exact match in snippet view article

Superconducting Cyclotron Tandem Van de Graaff Tangent modulus Tangent stiffness matrix Tangloids Tanjore Ramachandra Anantharaman Tanya Atwater Target strength

Seismic analysis (1,585 words) [view diff] exact match in snippet view article find links to article

modelled as a multi-degree-of-freedom (MDOF) system with a linear elastic stiffness matrix and an equivalent viscous damping matrix. The seismic input is modelled

Newmark-beta method (1,241 words) [view diff] exact match in snippet view article find links to article

{u}}+C{\dot {u}}+Ku=f^{\textrm {ext}}\,} here K {\displaystyle K} is the stiffness matrix. Let q n = [ u ˙ n , u n ] {\displaystyle q_{n}=[{\dot {u}}_{n},u_{n}]}

Moment distribution method (2,628 words) [view diff] exact match in snippet view article find links to article

For the structure described in this example, the stiffness matrix is as follows: [ K ] = [ 3 E I L + 4 2 E I L 2 2 E I L 2 2 E I L 4

Flow plasticity theory (2,005 words) [view diff] exact match in snippet view article find links to article

{\boldsymbol {\sigma }}={\mathsf {D}}:{\boldsymbol {\varepsilon }}} where the stiffness matrix D {\displaystyle {\mathsf {D}}} is constant. Elastic limit (Yield surface)

Vibration (7,235 words) [view diff] exact match in snippet view article find links to article

and the stiffness of all three springs equal 1000 N/m. The mass and stiffness matrix for this problem are then: [ M ] = [ 1 0 0 1 ] {\displaystyle

Stretched grid method (3,088 words) [view diff] exact match in snippet view article find links to article

{\displaystyle [\ A]} - symmetrical matrix in the banded form similar to global stiffness matrix of FEM assemblage, { Δ X 1 } {\displaystyle \{\Delta \ X_{1}\}} and

Stress–strain analysis (4,293 words) [view diff] exact match in snippet view article find links to article

stiffness tensor with 21 independent coefficients (a symmetric 6 × 6 stiffness matrix). This complexity may be required for general anisotropic materials

Hierarchical matrix (2,149 words) [view diff] exact match in snippet view article find links to article

involving Green's function, it is not surprising that the inverse of the stiffness matrix arising from the finite element method and spectral method can be approximated

Guyan reduction (684 words) [view diff] exact match in snippet view article find links to article

\mathbf {d} =\mathbf {f} } where K {\displaystyle \mathbf {K} } is the stiffness matrix, f {\displaystyle \mathbf {f} } the force vector, and d {\displaystyle

Hagler Institute for Advanced Study (883 words) [view diff] case mismatch in snippet view article find links to article

Post-Buckling & Limit Load Problems, Without Inverting the Tangent Stiffness Matrix & Without Using Arc-Length Methods”, CMES, Vol. 98, pp. 543-563, 2014

Rotordynamics (2,267 words) [view diff] exact match in snippet view article find links to article

skew-symmetric gyroscopic matrix K is the symmetric bearing or seal stiffness matrix N is the gyroscopic matrix of deflection for inclusion of e.g., centrifugal

Composite material (11,776 words) [view diff] exact match in snippet view article find links to article

_{2}\\\sigma _{3}\\\sigma _{4}\\\sigma _{5}\\\sigma _{6}\end{bmatrix}}} The stiffness matrix and compliance matrix can be reduced to [ σ 1 σ 2 σ 6 ] = [ E 1 1 −

Hooke's law (9,420 words) [view diff] exact match in snippet view article find links to article

_{yy}\\2\varepsilon _{xy}\end{bmatrix}}\,.} The transposed form of the above stiffness matrix is also often used. A transversely isotropic material is symmetric

Rock mass plasticity (3,772 words) [view diff] exact match in snippet view article find links to article

{\boldsymbol {\sigma }}={\mathsf {C}}:{\boldsymbol {\varepsilon }}} where the stiffness matrix C {\displaystyle {\mathsf {C}}} is constant. Elastic limit (Yield surface)

Bouc–Wen model of hysteresis (3,485 words) [view diff] exact match in snippet view article find links to article

{x}\\z_{y}\end{bmatrix}}} where K {\displaystyle K} is the initial stiffness matrix, a {\displaystyle a} is the ratio of post-yield to pre-yield (elastic)

Bicycle and motorcycle dynamics (16,102 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} and is asymmetric, K {\displaystyle K} is the so-called stiffness matrix which contains terms that include the gravitational constant g {\displaystyle

Bicycle and motorcycle dynamics (16,102 words) [view diff] exact match in snippet view article find links to article

{\displaystyle v} and is asymmetric, K {\displaystyle K} is the so-called stiffness matrix which contains terms that include the gravitational constant g {\displaystyle

Numerical modeling (geology) (9,059 words) [view diff] exact match in snippet view article

of this relation is Hooke's law. Derive equations of stiffness and stiffness matrix for elements. The stress also causes the element to deform; the stiffness