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8/10/2019 Crandall00 IsSL Flawed

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8/10/2019 Crandall00 IsSL Flawed

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0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

0.5

1

1.5

2

2.5

3

3.5

4

4.5

5Mean-Square Criteria

Equivalent Linear Stiffness

Mean-SquareDeficiency

Standard Linearization

SPEC-Alternative

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-3 -2 -1 0 1 2 30

0.1

0.2

0.3

0.4

0.5

0.6

0.7Probability Density Functions

Response displacement

Probabilitydensity

(a)

(b)

(c)

(d)

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8/10/2019 Crandall00 IsSL Flawed

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