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Earthquake Engineering Research - HKU Libraries - The University ...

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520<br />

TABLE 1<br />

REPRESENTATIVE MULTISTORY DWELLING BRICK BUILDINGS<br />

Design parameters<br />

Story<br />

Story height (m)<br />

Top story height (m)<br />

Bay (m)<br />

Building width (m)<br />

Building length (m)<br />

Outer wall thickness (cm)<br />

Load of roof (N/m 2 )<br />

Load of floor (~N"/m 2 )<br />

1<br />

4<br />

2.7<br />

2.8<br />

3.3<br />

10.3<br />

32.2<br />

37<br />

3310<br />

3790<br />

2<br />

6<br />

2.7<br />

2.7<br />

3.9<br />

11.2<br />

34.6<br />

37<br />

3310<br />

3790<br />

Buildings<br />

3<br />

7<br />

2.8<br />

2.8<br />

3.6<br />

10.3<br />

34.6<br />

37<br />

3310<br />

3790<br />

4<br />

8<br />

2.8<br />

2.8<br />

3.6<br />

10.3<br />

34.6<br />

37<br />

3310<br />

3790<br />

3 NONLINEAR SEISMIC RESPONSE ANALYSIS<br />

<strong>The</strong> brick building model is a shear stick model. <strong>The</strong> hysteretic model used is a tnlinear model, which<br />

is given through referring to a large number references [5], as shown in Fig.l. <strong>The</strong> details of the<br />

formulas of stiffness and strength in this model are given in Ref. [5]. This model includes a negative<br />

stiffness branch. In order to avoid the probable unstable phenomenon in the iteration method and<br />

probable non-definite abnormal matrix in the variable stiffness matrix method during dealing with the<br />

negative stiffness, we use the method of nonlinear dynamic response analysis based on pattern of<br />

self-equilibrating stresses [5, 6] to analyze the response of multistory brick buildings.<br />

Figure!: Hysteretic model of brick wall<br />

Figure 2: Elasto-plastic hysteretic model<br />

<strong>The</strong> hysteretic model used in laminated rubber bearing is an elasto-plastic hysteretic model, as shown<br />

in Fig.2.<br />

<strong>The</strong> earthquake ground motion input used in this analysis is the artificial ground motion [7]. <strong>The</strong><br />

earthquake acceleration time history is expressed as:<br />

a(t) = \|/(t)a,(t) (1)<br />

where, a s (t) is a stationary Gaussian process with zero mean value. ¥(t) is an envelope function

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