Index

Symbols

+ - * / + - * / @ .shape .toarray .todense 1D element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] 1D bar, [1], [2], [3], [4], [5] 1D bar stress, [1], [2], [3], [4], [5] 1D beam, [1], [2], [3], [4], [5] 1D beam stress, [1], [2], [3], [4], [5] 2D element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] flow, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] nonlinear, [1], [2], [3], [4], [5], [6], [7], [8] scale, [1] scaling, [1] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32] thermal, [1], [2], [3], [4], [5] visualization, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13] 2D bar, [1], [2], [3], [4], [5] 2D bar stress, [1], [2], [3], [4], [5] 2D beam, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17]

2D beam stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17] 2D beam visualization, [1] 2D flow, [1], [2], [3], [4], [5] 2D force diagram, [1] 2D visualization, [1], [2], [3], [4], [5], [6], [7], [8], [9] 3D element, [1], [2], [3], [4], [5], [6], [7], [8] stress, [1], [2], [3], [4], [5], [6], [7], [8] 3D bar, [1], [2] 3D bar stress, [1], [2] 3D beam, [1], [2] 3D beam stress, [1], [2] 3D element, [1], [2] 3D stress, [1], [2] 4 node element, [1], [2], [3], [4], [5] 4 node stress, [1], [2] 4 node thermal, [1], [2] 8 node element, [1], [2], [3], [4], [5], [6], [7], [8] 8 node stress, [1], [2], [3], [4], [5] 8 node thermal, [1], [2] :, [1] ;, [1] [ ] ( ) = ' ( )

A

abs analysis dynamic, [1], [2] dynamics, [1] frame, [1], [2] modal, [1], [2], [3] space frame, [1], [2] thermal, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] transient, [1] vibration, [1], [2], [3]

approximation eigenvalue, [1] arrows flux, [1] stress, [1] assem, [1] assembly, [1] finite element, [1] axial force, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17]

B

bar finite element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] nonlinear, [1], [2] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] bar element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] bar stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] bar1e, [1], [2] bar1s, [1], [2] bar1we, [1], [2] bar1ws, [1], [2] bar2e, [1], [2] bar2ge, [1], [2] bar2gs, [1], [2] bar2s, [1], [2] bar3e, [1], [2] bar3s, [1], [2] beam dynamic, [1], [2], [3], [4], [5] finite element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] forces, [1] foundation, [1], [2], [3], [4], [5] nonlinear, [1], [2], [3], [4], [5] plotting, [1] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] theory, [1], [2] Timoshenko, [1], [2], [3], [4], [5] visualization, [1] beam displacement, [1]

beam element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23] beam force visualization, [1] beam plotting, [1] beam section forces, [1], [2] beam stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23] beam1e, [1], [2] beam1s, [1], [2] beam1we, [1], [2] beam1ws, [1], [2] beam2de, [1], [2] beam2ds, [1], [2] beam2e, [1], [2] beam2ge, [1], [2] beam2gs, [1], [2] beam2gxe, [1], [2] beam2gxs, [1], [2] beam2s, [1], [2] beam2te, [1], [2] beam2ts, [1], [2] beam2we, [1], [2] beam2ws, [1], [2] beam3e, [1], [2] beam3s, [1], [2] bending element, [1], [2], [3], [4], [5], [6], [7], [8] bending moment, [1], [2], [3], [4], [5], [6], [7], [8] boundary conditions, [1] enforcement, [1]

C

clear, [1] condensation static, [1] constitutive matrix, [1] relations, [1], [2], [3] constitutive matrix, [1] continuum matrix, [1] contour lines, [1]

contours stress, [1] visualization, [1] coordinate extraction, [1] coordinates element, [1] finite element, [1] modal, [1] coordxtr, [1]

D

damping matrix, [1], [2] damping matrix, [1], [2] data element, [1] def deformation large, [1], [2], [3], [4], [5], [6], [7], [8] mesh, [1] shear, [1], [2], [3], [4], [5] visualization, [1] deformation plot, [1] deformed mesh, [1] det diag diagram force, [1] diary, [1] differential equations, [1], [2], [3] first order, [1] second order, [1], [2], [3], [4], [5] disp, [1] dispbeam2, [1] displacement plotting, [1] visualization, [1]

displacement visualization, [1], [2], [3] dmises, [1] domain frequency, [1], [2], [3] drawing mesh, [1] utilities, [1] drawing scale, [1] dyna2, [1] dyna2f, [1] dynamic analysis, [1], [2] beam, [1], [2], [3], [4], [5] response, [1] dynamic analysis, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12] dynamic beam element, [1], [2] dynamic beam stress, [1], [2] dynamics analysis, [1] eigenvalues, [1] structural, [1], [2], [3] time integration, [1], [2], [3], [4], [5]

E

echo, [1] eigen, [1] eigenvalue approximation, [1] generalized, [1] eigenvalue approximation, [1] eigenvalue problem, [1] eigenvalues dynamics, [1] elastic element, [1], [2] force, [1], [2] material, [1] support, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17] elastic force, [1], [2] elastic material, [1] elastic spring, [1], [2] elastic support, [1], [2], [3], [4], [5], [6], [7], [8] elastic support stress, [1], [2], [3], [4], [5], [6], [7], [8] elasto-plastic, [1] material, [1] matrix, [1] elasto-plastic matrix, [1] eldisp2, [1] eldraw2, [1] element 1D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] 2D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] 3D, [1], [2], [3], [4], [5], [6], [7], [8] bending, [1], [2], [3], [4], [5], [6], [7], [8] coordinates, [1] data, [1] elastic, [1], [2] hexahedral, [1], [2] higher order, [1], [2], [3], [4], [5] isoparametric, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] quadrilateral, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] structural, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38] triangular, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] element coordinates, [1]

element drawing, [1] element extraction, [1] element matrices, [1] elements visualization, [1] elflux2, [1] elimination equation, [1], [2], [3] eliso2, [1] elprinc2, [1] enforcement boundary conditions, [1] equation elimination, [1], [2], [3] equation reduction, [1] equation solver, [1] equations uncoupled, [1] Euler-Bernoulli beam, [1], [2] exact solution, [1], [2], [3], [4], [5] exact solution, [1], [2] exact solution stress, [1], [2] exd_beam2_b, [1], [2], [3] exd_beam2_t, [1], [2], [3] exd_beam2_tr, [1], [2], [3] exn_bar2g, [1] exn_beam2g, [1] exn_beam2g_b, [1] exs_bar2, [1], [2], [3] exs_bar2_l, [1], [2], [3] exs_beam1, [1], [2], [3] exs_beam2, [1], [2], [3] exs_beambar2, [1], [2], [3] exs_flw_temp1, [1], [2], [3] exs_spring, [1], [2], [3] extract_ed, [1] extraction finite element, [1] geometry, [1]

F

fast fourier transform, [1] fft, [1], [2], [3] finite element assembly, [1] bar, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] beam, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] coordinates, [1] extraction, [1] nonlinear, [1], [2], [3], [4], [5], [6], [7], [8] plane, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] plotting, [1], [2], [3] reduction, [1], [2], [3] solid, [1], [2] solver, [1] spring, [1], [2] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56] thermal, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] first order differential equations, [1] first order differential equations, [1] flow 2D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] heat, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] visualization, [1] flow analysis, [1], [2], [3], [4], [5] flow arrows, [1] flow element, [1], [2], [3], [4], [5] flux arrows, [1] heat, [1], [2], [3], [4], [5], [6], [7], [8] flux visualization, [1] flw2i4e, [1], [2] flw2i4s, [1], [2] flw2i8e, [1], [2]

flw2i8s, [1], [2] flw2qe, [1], [2] flw2te, [1], [2] flw2ts, [1], [2] for, [1] force diagram, [1] elastic, [1], [2] force diagram, [1] forces beam, [1] section, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28] visualization, [1] format, [1] foundation, [1], [2] beam, [1], [2], [3], [4], [5] stiffness, [1], [2] stress, [1], [2], [3], [4], [5], [6], [7], [8] Winkler, [1], [2], [3], [4], [5] foundation beam, [1], [2], [3], [4], [5] foundation beam stress, [1], [2], [3], [4], [5] foundation stress, [1], [2] frame analysis, [1], [2] stress, [1], [2] frame element, [1], [2] freqresp, [1] frequency domain, [1], [2], [3] response, [1] frequency domain, [1], [2], [3], [4], [5], [6], [7] frequency response, [1] full function transfer, [1]

G

generalized eigenvalue, [1] geometric nonlinear, [1], [2], [3], [4], [5], [6], [7], [8] nonlinearity, [1], [2], [3], [4], [5], [6], [7], [8] geometric nonlinear, [1], [2], [3], [4], [5] geometric nonlinear beam, [1], [2] geometric nonlinear stress, [1], [2], [3], [4], [5], [6], [7], [8] geometry extraction, [1]

geometry utilities, [1] gfunc, [1] global stiffness matrix, [1] gradient temperature, [1], [2] graphic scale, [1] graphic scale, [1]

H

heat flow, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] flux, [1], [2], [3], [4], [5], [6], [7], [8] heat flow, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] heat flux, [1], [2], [3], [4], [5], [6], [7], [8] help, [1] hexahedral element, [1], [2] stress, [1], [2]

hexahedral element, [1], [2] hexahedral stress, [1], [2] higher order element, [1], [2], [3], [4], [5] stress, [1], [2] thermal, [1], [2] hooke, [1] Hooke's law, [1]

I

if, [1] ifft, [1] integration numerical, [1], [2], [3] interpolation, [1] inv inverse fast fourier transform, [1] iso lines, [1] iso lines, [1]

isoparametric element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] stress, [1], [2], [3], [4], [5], [6], [7], [8] thermal, [1], [2], [3], [4], [5] isoparametric element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] isoparametric stress, [1], [2], [3], [4], [5], [6], [7], [8] isotropic hardening, [1], [2], [3] isotropic material, [1] iterative solver, [1] iterative eigenvalue, [1]

L

Lanczos method, [1] Lanczos method, [1] large deformation, [1], [2], [3], [4], [5], [6], [7], [8] large deformation, [1], [2], [3], [4], [5], [6], [7], [8] law Hooke's, [1] legend plot, [1]

len length linear algebra solver, [1] linear system, [1] lines iso, [1] load, [1]

M

mass matrix, [1], [2] mass matrix, [1], [2] material elastic, [1] elasto-plastic, [1] matrix, [1] plasticity, [1] properties, [1] von Mises, [1] material matrix, [1] matrix constitutive, [1] damping, [1], [2] elasto-plastic, [1] mass, [1], [2] material, [1] plasticity, [1] reduction, [1] stiffness, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29] matrix condensation, [1]

matrix reduction, [1] max mesh deformation, [1] drawing, [1] utilities, [1] mesh visualization, [1] method Lanczos, [1] Newmark, [1], [2], [3] min mises, [1] modal analysis, [1], [2], [3] coordinates, [1] modal analysis, [1], [2], [3], [4], [5] mode shapes, [1] model reduction, [1], [2], [3] model reduction, [1], [2], [3] module

N

natural frequencies, [1] Newmark method, [1], [2], [3] Newmark method, [1] nodal values, [1] nodal quantities, [1] nonlinear 2D, [1], [2], [3], [4], [5], [6], [7], [8] bar, [1], [2] beam, [1], [2], [3], [4], [5] finite element, [1], [2], [3], [4], [5], [6], [7], [8] geometric, [1], [2], [3], [4], [5], [6], [7], [8] stress, [1], [2], [3], [4], [5], [6], [7], [8] nonlinear analysis, [1], [2], [3], [4], [5], [6], [7], [8] nonlinear stress, [1], [2], [3], [4], [5], [6], [7], [8] nonlinearity geometric, [1], [2], [3], [4], [5], [6], [7], [8]

normal force, [1], [2], [3], [4], [5], [6], [7], [8] np.abs np.arange np.diag np.linalg.det np.linalg.inv np.max np.min np.ones np.shape np.size np.sqrt np.sum np.zeros numerical integration, [1], [2], [3]

O

one dimensional, [1], [2], [3], [4], [5]

ones

P

plane finite element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] strain, [1], [2], [3], [4], [5], [6], [7], [8] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] plane element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] plane strain, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] plane stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] plani4e, [1], [2] plani4s, [1], [2] plani8e, [1], [2] plani8s, [1], [2] planqe, [1], [2] plante, [1], [2] plants, [1], [2] plastic strain, [1] plasticity, [1] material, [1] matrix, [1] plasticity matrix, [1]

plot legend, [1] scaling, [1] plot legend, [1] plot scaling, [1] plotting beam, [1] displacement, [1] finite element, [1], [2], [3] plt.spy post-processing, [1] stress, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29] thermal, [1], [2], [3], [4], [5] utilities, [1] visualization, [1], [2], [3], [4], [5] principal stress, [1] principal stress, [1] properties material, [1]

Q

quadrilateral element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] stress, [1], [2], [3], [4], [5]

quadrilateral element, [1], [2] quadrilateral flow element, [1], [2] quit, [1]

R

red, [1] reduction finite element, [1], [2], [3] matrix, [1] model, [1], [2], [3] relations constitutive, [1], [2], [3]

response dynamic, [1] frequency, [1] Ritz vectors, [1] ritz, [1]

S

save, [1] scale 2D, [1] graphic, [1] visualization, [1] scale bar, [1] scale factor, [1] scalfact2, [1] scalgraph2, [1] scaling 2D, [1] plot, [1] visualization, [1] scipy.sparse script secforce2, [1] second order differential equations, [1], [2], [3], [4], [5] second order differential equations, [1] section forces, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28] section force diagram, [1] section forces, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] shear deformation, [1], [2], [3], [4], [5] shear deformation, [1], [2] shear deformation stress, [1], [2] shear force, [1], [2], [3], [4], [5], [6], [7], [8] simple element, [1], [2] size soli8e, [1], [2] soli8s, [1], [2] solid finite element, [1], [2] stress, [1], [2] solid element, [1], [2] solid stress, [1], [2] solution exact, [1], [2], [3], [4], [5] system, [1] solveq, [1] solver finite element, [1] iterative, [1] linear algebra, [1] space frame, [1], [2] analysis, [1], [2] stress, [1], [2] sparse spring finite element, [1], [2] stress, [1], [2] spring element, [1], [2] spring force, [1], [2] spring stress, [1], [2]

spring1e, [1], [2] spring1s, [1], [2] spy sqrt statcon, [1] static condensation, [1] static condensation, [1] step1, [1] step2, [1] stepping time, [1], [2], [3], [4], [5] stiffness foundation, [1], [2] matrix, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29] stiffness matrix, [1] global, [1] strain plane, [1], [2], [3], [4], [5], [6], [7], [8] plastic, [1] stress 1D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] 2D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32] 3D, [1], [2], [3], [4], [5], [6], [7], [8] arrows, [1] bar, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] beam, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26] contours, [1] finite element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49], [50], [51], [52], [53], [54], [55], [56] foundation, [1], [2], [3], [4], [5], [6], [7], [8] frame, [1], [2] hexahedral, [1], [2] higher order, [1], [2] isoparametric, [1], [2], [3], [4], [5], [6], [7], [8] nonlinear, [1], [2], [3], [4], [5], [6], [7], [8] plane, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14] post-processing, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29] principal, [1] quadrilateral, [1], [2], [3], [4], [5] solid, [1], [2] space frame, [1], [2] spring, [1], [2] visualization, [1] von Mises, [1] stress arrows, [1] stress contours, [1] stress visualization, [1] structural dynamics, [1], [2], [3] element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38] structural dynamics, [1] sum support elastic, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17] system solution, [1]

T

temperature gradient, [1], [2] temperature gradient, [1], [2], [3], [4], [5], [6], [7], [8] theory beam, [1], [2] thermal 2D, [1], [2], [3], [4], [5] analysis, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] finite element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20] higher order, [1], [2] isoparametric, [1], [2], [3], [4], [5] post-processing, [1], [2], [3], [4], [5] visualization, [1] thermal analysis, [1], [2], [3], [4], [5], [6], [7], [8] thermal element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] thermal visualization, [1] three dimensional, [1], [2], [3], [4], [5] time stepping, [1], [2], [3], [4], [5] time domain, [1], [2], [3] time functions, [1] time integration, [1], [2], [3] dynamics, [1], [2], [3], [4], [5]

time stepping, [1] Timoshenko beam, [1], [2], [3], [4], [5] Timoshenko beam, [1], [2] Timoshenko beam stress, [1], [2] torsion, [1], [2] transfer function, [1] transfer function, [1] transient analysis, [1] transient analysis, [1] triangular element, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11] triangular element, [1], [2], [3], [4], [5] triangular element stress, [1], [2] triangular stress, [1], [2] triangular thermal stress, [1], [2] truss element, [1], [2], [3], [4], [5], [6], [7], [8] two dimensional, [1], [2], [3], [4], [5] type, [1]

U

uncoupled equations, [1] uncoupled equations, [1] undeformed mesh, [1]

utilities drawing, [1] mesh, [1] post-processing, [1]

V

values nodal, [1] vectors Ritz, [1] vibration analysis, [1], [2], [3] vibration analysis, [1] visualization 2D, [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13] beam, [1] contours, [1] deformation, [1] displacement, [1] elements, [1] flow, [1] forces, [1] post-processing, [1], [2], [3], [4], [5] scale, [1] scaling, [1] stress, [1] thermal, [1]

visualization scale, [1] visualization scaling, [1] von Mises material, [1] stress, [1] von Mises material, [1] von Mises stress, [1]

W

what, [1] while, [1] who, [1]

whos, [1] Winkler foundation, [1], [2], [3], [4], [5] Winkler foundation, [1], [2], [3], [4], [5]

Y

yield criterion, [1]

Z

zeros