calculated mode shapes

USAGE SUMMARY

The phrase "calculated mode shapes" is correct and usable in written English.
It can be used in contexts related to engineering, physics, or mathematics, particularly when discussing the analysis of dynamic systems or vibrations. Example: "The calculated mode shapes of the structure indicate potential areas of resonance that need to be addressed."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

The modal assurance criterion values between the corresponding measured and calculated mode shapes of the plate are all above 93percentt.

Journal of Sound and Vibration

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

A comparison of the calculated frequencies and corresponding mode shapes of a dry toroidal shell shows good agreement with available results.

Journal of Sound and Vibration

Numerical examples show that the calculated natural frequencies and mode shapes of two symmetric buildings are very close to the corresponding field measured data, suggesting that the proposed methods are applicable to engineering application and practice.

International Journal of Solids and Structures

Numerical examples demonstrate that the calculated longitudinal natural frequencies and mode shapes are in good agreement with the experimental data and those determined by the finite element method, and the proposed procedure is an efficient and exact method.

Journal of Sound and Vibration

By comparing the calculated natural frequencies and the mode shapes with the results obtained from experimental modal testing, the effects of the teeth of the stator, windings, outer casing, slots, end-shields and support on the overall vibration behaviour are analyzed.

Journal of Sound and Vibration

This paper illustrates, for the first time, the use of horizontally-displaced mode shapes and the calculated change in the dynamic flexibility features to identify scour from the response of the bridge superstructure.

Construction and Building Materials

(b) Calculate the spatial wavelet coefficients of the mode shapes.

International Journal of Advanced Structural Engineering

Then, using calculated stiffness and mass matrices, a generalized eigenvalue problem is formed to compute natural frequencies and the corresponding mode shapes.

International Journal of Advanced Structural Engineering

The weights are taken from the mode shapes.

Nature

b, Mode shapes for the first four modes in the free case.

Nature

The mode shapes are presented in graphs.

International Journal of Mechanical Sciences

Expert writing Tips

Best practice

When reporting on modal analysis results, clearly specify the method used to obtain the "calculated mode shapes", such as finite element analysis or experimental modal analysis.

Common error

Avoid using "calculated mode shapes" when describing mode shapes directly obtained from experimental measurements without any preceding calculation or simulation. In such cases, use "experimentally determined mode shapes" instead.

Linguistic Context

The phrase "calculated mode shapes" functions as a noun phrase where "calculated" acts as an adjective specifying the origin of the mode shapes, typically through computational methods. Ludwig indicates this phrase is grammatically sound and usable in technical contexts.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Reference

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Ludwig's WRAP-UP

The term "calculated mode shapes" refers to the shapes representing vibrational patterns obtained through computational analysis, typically in engineering or scientific contexts. Ludwig confirms its grammatical correctness and suitability for technical discussions. While relatively rare, its usage is consistent within scientific literature. When using this term, be precise about the method of calculation. For experimental results, consider alternative terms such as "experimentally determined mode shapes". Understanding these nuances ensures accurate communication in technical fields.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

computed mode shapes

Replaces "calculated" with "computed", maintaining the same meaning of determining mode shapes through analysis.

determined mode shapes

Uses "determined" instead of "calculated", implying the mode shapes were found or ascertained.

estimated mode shapes

Replaces "calculated" with "estimated", suggesting an approximation of the mode shapes.

predicted mode shapes

Uses "predicted", indicating that the mode shapes were forecasted based on a model.

simulated mode shapes

Replaces "calculated" with "simulated", implying mode shapes were generated through simulation.

analytical mode shapes

Emphasizes that the mode shapes were derived through analytical methods.

theoretical mode shapes

Highlights the mode shapes are based on theoretical principles.

numerical mode shapes

Specifies that the mode shapes were obtained through numerical analysis.

finite element mode shapes

Indicates the mode shapes were derived using the finite element method.

modal vibration patterns

A broader term that encompasses the visual representation of modes.

FAQs

How are "calculated mode shapes" used in structural analysis?

"Calculated mode shapes" are used to understand how a structure will deform under different vibration frequencies, aiding in the identification of potential resonance issues and structural weaknesses.

What is the difference between "calculated mode shapes" and experimentally measured mode shapes?

"Calculated mode shapes" are derived from simulations or theoretical models, while experimentally measured mode shapes are obtained through physical testing. Discrepancies between the two can reveal model inaccuracies or unmodeled physical effects.

What software is commonly used to determine "calculated mode shapes"?

Software like ANSYS, Abaqus, and COMSOL are frequently used to perform finite element analysis and determine "calculated mode shapes".

What are some alternatives to using the term "calculated" in "calculated mode shapes"?

You can use alternatives like "computed mode shapes", "determined mode shapes", or "estimated mode shapes", depending on the specific context.