Next 1. Introduction 1. Introduction (cont'd) 1. Introduction (cont'd) 1. Introduction (cont'd) 1. Introduction (cont'd) 1. Introduction (cont'd) 1. Introduction (cont'd) 1. Introduction (cont'd) 2. Rayleigh-Ritz procedure 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 2. Rayleigh-Ritz procedure (cont'd) 3. A simple element analysis 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 23 of 47 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 3. A simple element analysis (cont'd) 4. Higher-order elements 4. Higher-order elements (cont'd) 5. Assembly of system equation 5. Assembly of system equation (cont'd) 5. Assembly of system equation (cont'd) 5. Assembly of system equation (cont'd) 5. Assembly of system equation (cont'd) 6.1 Static problem 6.2 Undamped dynamic problem 6.2 Undamped dynamic problem (cont'd) 6.2 Undamped dynamic problem (cont'd) 6.2 Undamped dynamic problem (cont'd) 6.3.1 Modal analysis 6.3.1 Modal analysis (cont'd) 6.3.2 Time-domain analysis 6.3.2 Time-domain analysis (cont'd) 6.3.2 Time-domain analysis (cont'd) 6.3.2 Time-domain analysis (cont'd) 6.3.2 Time-domain analysis (cont'd) 6.3.3 Complex-valued analysis

3. A simple element analysis (cont'd)

Applying this equation at each of the three vertices of the element, we obtain
w 1 w 2 w 3 = 1 x 1 y 1 1 x 2 y 2 1 x 3 y 3 c 1 c 2 c 3 (Eqn. 6)
or, in matrix notation,

w = X c
(Eqn. 7)

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R. Funnell
Last modified: 2018-11-07 12:52:06

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