Question

a harmonic analysis is a non linear analysis yes or no​

Answer 1

Answer:

yes

Explanation:

The harmonic analysis of non-linear structures can be equivalently carried out with many different approaches, such as generalised frequency response functions (GFRF) or, more commonly, direct integration methods, Integration techniques provide only approximate results, since the integration procedure is usually carried out for few iteration steps. On the other hand, computational questions and accuracy problems may also arise with GFRFs for different reasons: for example, jump phenomena cannot be detected by means of GFRFs. In practice, for all these reasons, particular care is required in the usage and interpretation of these tools. In this paper, a comparison of the two methodologies is drawn by means of a simple example, and the advantages and drawbacks of GFRF-based harmonic analysis methodology are discussed in extent. In particular, it is shown how GFRFs can be effectively used to derive parametric approaches for harmonic analysis, which represents a substantial advantage over direct integration methods and allows for the development of modular algorithms. In fact, a simple and modular procedure which couples these tools with NARX/NARMAX modelling is proposed. The methodology is tested on a laboratory-scale model of a dam buttress.

Answer 2

Harmonic analysis is a linear analysis.

• It is a branch of mathematics that studies the sum of oscillatory components, usually sine or cosine waves, representing various signals and functions
• This branch involves breaking down complex signals into their constituents and studying them individually. These components are known as harmonics and have a specific frequency, phase, and amplitude
• It is a linear analysis in most cases as we can apply the principle of superposition to it. This means that the sum of responses of its individual components equals that of all the various responses occurring simultaneously
• This field is especially useful in studying phenomena such as sound waves and electromagnetic waves

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