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Wysłany: Sob 6:55, 04 Gru 2010 Temat postu: ugg boots guenstig Multi-layer and the vibration c |
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Multi-storey and high-level framework for calculation of vibration characteristics
Vibration characteristics as the following equation written in the form of [u] [x] = [x] above linear equations can be obtained using iterative methods, and, x], Li is the largest they must value and the corresponding [x], when demand after the first mode, such as our problem is to find hug and O [) a similar matrix,[link widoczny dla zalogowanych], tentatively called 0],[link widoczny dla zalogowanych], and [] shall meet the following properties of I. [U] Cx3 ~ XCx3 still hold 2. On the type of the value obtained by iterative method, and [x] is the corresponding value of a good second camera modes. Strike by matrix iteration in the basic vibration mode and (x] have the following forms of proof of the formula; 000 ... 0 ... interesting set s: 1,[link widoczny dla zalogowanych], [x] The anti-matrix is [x]: CB3 following equation exists The. i00 ... o1 (]. a. ∽ ... '....' I00o ...! [B] is fully extended in the future is a square matrix can also be written as 1 × n of a single array [B] a formula (1 [B1] CB:] t [B] (2) at stage 1 off alone 『....\]] formula (1) the right side of the 033 as a square, was started 00 ... 01fBnB, 2 ... 13,] {00 ... 0lJBnB \B03]] ... llX, CB] lJ a] J the formula (3) and formula (4) have a contrast (3) (4) CB, 3 [u] a LOB, 3 ・ (5) r; 1,2 , 3, ... ... n they are appropriate for any line to meet the vibration characteristics of linear equations,[link widoczny dla zalogowanych], so [u]] I] (6) [M] before by formula (6) to take both sides of the application of reverse transfer matrix theorem of Well may [x] [M] (u] A] (M] (7) the formula (5) and formula (7) comparison, we can see CB, 3, and] [M] is equal to or at most by a constant difference number of the CB] a aCx] (M] - ( formula ( a is an arbitrary constant, to facilitate desirable for the operation of a 1 or a CB, 3 a f.x] [M] (9) Equation (9) The expansion is; [B] [xi, xl, ...,] m100 ... 00. m: 0 ... 0L0 = [mlxj + m2x; + ... + mx:] 'by [B] is [x] of the anti-matrix, Therefore,[link widoczny dla zalogowanych], '[B]] a [I] 一 00 ... m100 ... 01010 ... 0l0b0 ... 1J to 033 by single matrix [x] was launched by a single row matrix (10) (11) electrical plant design [B) [x] = ( B1] (] I [B) COx) [x) ... [x) ... [x]) [B1] [x】] [B,) [x) ... [B) [x] ... CB]]] [B [x] [] [x] ... [B] [x) ... (). 【') I} ... ... ... ● ... ... ● ● lc] [x] c] cxt) ... c) [xr] ... c) [] l'. ) F ... ... ... ... ... ... lCB, JCx] C) [x) ... C] [f] ... [BI] (x) J formula fl1) and (12) illustrates the effect - (12) on the right side of the main matrix l corner the rest of the line element are zero. Ie f iv, the formula ( or (9) into equation (13) can be seen that formula (13) is also in the main vibration plastic body of the relations from equation (13) shows that [B1) [x) = 1 (14 ) [B1] [x. ] = CB,] [x. ) = ... A [B,] [x] = 0 (15) from equation (9) we can see [B1] = [x] (M) a Cmlm2x; ... mx] the above equation into (15) where too m, x ~ x1 + m2xlx2 + ... + mx. = O (16) mlxlxj = a (m2x; x. + ... mxx) Let xi = 1 offspring into the linear equations (17) ml811x1 + m2812 + ... ... + m. I. = x】] m1 ~ xl + m2 total station + ... ... + mnIxt-tI. (17) ... ... ...'''lml1x Ring】 + m 2 + ... ... + m. 8nx = J and the iteration matrix can be calculated by the second vibration mode, xi, xi, x ・ x:. Using formula (15) can be calculated orthogonality relations and other higher modes corresponding [x] value. References 1. F Introduction to Earthquake Engineering Earthquake Engineering Introduction 'Writing Group, 1977z. Structural Mechanics Editor 19,613 barrier Po grapefruit. Free vibration of multi-storey buildings close to the calculation of Wang Guang Qi Hall Institute of Architectural Engineering in 1963, the first vessel 4. Compilation of the earthquake area of building design of Beijing Construction Engineering Architectural Design Institute of Building Research published 1962-11-29--
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