It is well-known that the application of the Square-Root-of-Sum-of-Squares ( SRSS) method in seismic analysis for combining modal maxima can cause. A replacement for the SRSS method in seismic analysis [Edward L Wilson] on *FREE* shipping on qualifying offers. A Replacement for the SRSS Method in Seismic Analysis. Front Cover. Edward L. Wilson. Wiley, – Structural analysis (Engineering).

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Regarding the number of modes, in para. Both periodic and rigid tue occur in the intermediate region between amplified spectral acceleration and high-frequency region DE in Figure 1 and Figure 2. There is no specific requirement. World Journal of Engineering and TechnologyVol.

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Then, the seismic analysis for each direction can be performed separately and then combined by the square root of the sum of the squares SRSS. This statement is supported referring to a detailed discussion on this issue developed by Menun and Der Kiureghian in and Thus the structural design optimization of a small vertical-axis wind turbine could be successfully accomplished.

This subject is dealt with in several standards or regulatory guides among which the following are examined herein below: The maximum value is 1. The effects of each modes for a given direction of the seismic action shall be combined with the CQC rule see para.


For what regard the mode combination, paragraph The effects due to the different directions of the seismic action shall be combined with the percentage rule see ffor. The equations are written as follows: The percentage rule is also proposed in paragraph 4. There is no specific provisions regarding combination of spatial components, x that in letter f of Section 2. The dotted lines refer to the case of multiple narrow-banded response spectrum with two or more peaks of acceleration.

A Replacement for the SRSS Method in Seismic Analysis – Edward L. Wilson – Google Books

The percentage rule is therefore adopted. For response spectrum RS analysis, the R. The rigid response corresponds to the steady-state phase in theory of vibrations. He provides the following recommendations page As an alternative the SRSS rule can be used. According to this book, this approach introduces a maximum error of 4. Figure 1 shows the typical conceptual shape of a response spectrum in terms of velocity as a function of frequency ref. In seismic response analysis two types of combinations are to be considered: Figure 2 shows the typical response spectrum in terms of acceleration as a function of frequency ref.

The combination rule to be used for individual modal responses depends upon whether the responses are periodic, rigid or both see R. The periodic modal responses of an earthquake are combined with the following rules: This condition is equivalent to the one adopted by R.


Recently, there is a growing interest in seismic qualification of ridges, buildings and mechanical equipment worldwide due to increase of accidents caused by earthquake. Periodic responses are dominant in the region of amplified spectral displacement, amplified spectral velocity and amplified spectral acceleration.

To overcome and prevent these undesirable problems, structural design optimization of a small vertical axis wind turbine has performed, in this study, for seismic qualification and lightweight by using a Genetic Algorithm GA subject to some design constraints such as replaacement maximum stress limit, maximum deformation limit, and seismic acceleration gain limit.

The percentage rule was put forward by Newmark and Rosenblueth first.

The rigid responses and rigid components of responses are combined algebraically. Labor Omnia Vicit Improbus. Sensitivity Analysis of the Replacement Problem. The periodic response corresponds to the transient phase in theory of vibrations.