Nonlinear response- history analysis in design practice RUTHERFORD & CHEKENE November 2007 Joe Maffei.

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Nonlinear response- history analysis in design practice RUTHERFORD & CHEKENE November 2007 Joe Maffei

RUTHERFORD & CHEKENE

Why do NLRH? The code makes us. (Base isolation or supplemental damping) Substantiation of non-prescriptive (“alternative”) designs. We want to know what happens. What is the value of NLRH?

Outline Example projects Unique value of NLRH Findings from NLRH of tall buildings Dispersion of NLRH results Ground motion input Conclusions [Modeling uncertainty]

Example projects that used NLRH

RUTHERFORD & CHEKENE

Education Tower

RUTHERFORD & CHEKENE

Buildings with supplemental damping RUTHERFORD & CHEKENE

Waterfront pier structures

RUTHERFORD & CHEKENE Exploratorium – Piers 15 and 17

Non-prescriptive seismic design

BASE 13th ROOF

What is the unique value of NLRH? …

To determine what happens, not how much. Desired mechanism RUTHERFORD & CHEKENE Undesirable mechanism

Findings from NLRH analyses of high-rise buildings

Runs scaled from 0.1x MCE to 4x MCE

Core wall moment versus shear amplification

Moment to shear ratio 110’ at 0.6x MCE 90’ at MCE 57’ at 2x MCE 230’ 175’

Use NLRH to determine what happens, more than how much. RUTHERFORD & CHEKENE

Coupled wall Plastic hinge locations RUTHERFORD & CHEKENE

Dispersion of results among 7 or 14 ground motion records

14 NLRH RUNS BASE 13th ROOF Roof Displ. Ft. Wall Shear at Base Kips Wall Moment at 13 th 1000xK- ft. Min Max Mean m+  c.o.v. 2.1’ 6.7’ 4.2’ 5.4’ Pushover

Coupling beam rotation

Considering dispersion “Demands for ductile actions shall be taken not less than the mean value obtained from the NLRH. Demands for low-ductility actions (e.g., axial and shear response of columns and shear response of walls) shall consider the dispersion of the values obtained from the NLRH.”

NLRH ground motion input

NLRH INPUT 7 horizontal ground motion pairs 14 response-history runs GRN 270 GRN 180 GRN 270 GRN 180 RUTHERFORD & CHEKENE

NLRH analysis at MCE “When the ground motion components [statistically] represent site-specific fault-normal ground motions and fault-parallel ground motions, the components shall be applied to the three-dimensional mathematical analysis model according to the orientation of the fault with respect to the building. When the ground motion components represent random orientations, the components shall be applied to the model at orientation angles that are selected randomly; individual ground motion pairs need not be applied in multiple orientations..”

NLRH analysis at MCE “Where applicable, an appropriate number of the ground motion time series shall include near fault and directivity effects such as velocity pulses producing relatively large spectral ordinates at relatively long periods.”

Conclusions

The most important value of NLRH is that it tells you what the nonlinear mechanism is, and what the overstrength forces are on elements that you want to remain elastic. RUTHERFORD & CHEKENE

Modeling uncertainty

Olivian

Comparison of SAP model by KPFF vs Perform model by R&C

EQ4: Test EQ4 PGA = 0.93g

EQ4:

Experimental results EQ4: Non-linear EQ3: Essentially linear

Measured

111 Almaden Ave San Jose

Beam connection behavior

Beam fiber model

Analysis model versus test results

Test Specimen RAM Perform finite element model RUTHERFORD & CHEKENE

Cyclic pushover results RUTHERFORD & CHEKENE