mode shapes obtained

USAGE SUMMARY

The phrase "mode shapes obtained" is correct and usable in written English.
It can be used in contexts related to engineering, physics, or any field that involves analysis of vibrational characteristics of structures or systems. Example: "The mode shapes obtained from the analysis indicate the potential points of failure in the structure."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

25 human-written examples

In this study, the elastic constant is identified using mode shapes obtained by standard laser vibrometers.

Journal of Sound and Vibration

Time-domain responses of the panel are computed by the mode superposition method using the mode shapes obtained previously.

International Journal of Mechanical Sciences

This paper presents a new method for scaling mode shapes obtained by means of operational modal analysis.

Journal of Sound and Vibration

The mode shapes obtained from dynamic stiffness formulation can be utilized as base functions in the solution.

Journal of Sound and Vibration

The measured data are then compared with the natural frequencies and mode shapes obtained from the finite element analysis to verify the applicability of the finite element model.

Solar Energy

Furthermore, the equilibrium positions, natural frequencies and mode shapes obtained with both the new and previous expressions are analysed and discussed.

Journal of Sound and Vibration

Human-verified similar examples from authoritative sources

Similar Expressions

35 human-written examples

The procedure is best suited to the mode shape obtained from the fundamental natural frequency.

Journal of Sound and Vibration

The fundamental mode shape obtained theoretically was compared with the result of the finite element analysis.

Journal of Sound and Vibration

The two-component representation of the damped vibration mode is constructed as a linear combination of the undamped mode shape and the mode shape obtained by locking the damper.

Journal of Sound and Vibration

There are 12 damage locations and 12 damage intensities at each location, giving a total of 144 cases for simulations, and data (displacement of the 91 points at first mode shape) obtained from each case is used in SVM.

International Journal of Advanced Structural Engineering

The initially imperfect geometry was defined to be the first mode shape, obtained from the eigenvalue analysis, with a maximum lateral displacement of 1 mm at the mid-span.

International Journal of Concrete Structures and Materials

Expert writing Tips

Best practice

When writing about modal analysis, clearly specify the method used to obtain the mode shapes (e.g., "finite element analysis", "experimental modal analysis") for clarity and reproducibility.

Common error

Don't assume the method for obtaining mode shapes is universally understood. Always explicitly state the method used unless the context makes it absolutely clear, as different methods can yield varying results.

Linguistic Context

The phrase "mode shapes obtained" primarily functions as a noun phrase, often used as a subject or object within a sentence. Ludwig AI indicates the phrase is grammatically correct and commonly used, especially in scientific writing. It describes the result of a process, typically analysis or experimentation.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "mode shapes obtained" is a grammatically sound and frequently used term in scientific and engineering disciplines, particularly in contexts related to modal analysis. As Ludwig AI confirms, it accurately describes the result of acquiring mode shapes through methods such as finite element analysis or experimental measurements. When using this phrase, ensure you clearly specify the method by which the mode shapes were "obtained" for greater precision. While perfectly acceptable, consider alternatives like "acquired mode shapes" or "derived mode shapes" to add variety to your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

acquired mode shapes

Replaces "obtained" with "acquired", emphasizing the act of gaining or receiving the mode shapes through measurement or computation.

derived mode shapes

Substitutes "obtained" with "derived", highlighting the process of deducing or calculating the mode shapes from underlying principles or data.

calculated mode shapes

Uses "calculated" instead of "obtained", stressing the computational aspect of determining the mode shapes.

determined mode shapes

Replaces "obtained" with "determined", indicating a more definitive or conclusive finding of the mode shapes.

extracted mode shapes

Employs "extracted" instead of "obtained", emphasizing the process of pulling out the mode shapes from a larger dataset or analysis.

estimated mode shapes

Substitutes "obtained" with "estimated", acknowledging that the mode shapes may be approximations or based on incomplete data.

mode shapes from analysis

Focuses on the source of the mode shapes, specifying that they come from an analysis.

experimentally-derived mode shapes

Specifies that the mode shapes are derived from experimental data.

mode shapes resulting from

Rephrases to indicate the mode shapes are a consequence of something.

resulting mode shapes

Shortens the phrase while retaining the core meaning, focusing on the outcome.

FAQs

How are "mode shapes obtained" in structural analysis?

Mode shapes can be "obtained" through various methods, including experimental modal analysis, finite element analysis (FEA), and operational modal analysis. Each method offers different levels of accuracy and applicability depending on the complexity of the structure and the available data.

What does "mode shapes obtained" from FEA represent?

Mode shapes "obtained" from FEA represent the characteristic deformation patterns of a structure at its natural frequencies. These shapes are crucial for understanding how a structure will respond to dynamic loads and identifying potential failure points.

What are some alternatives to using the phrase "mode shapes obtained"?

You can use alternatives like "acquired mode shapes", "derived mode shapes", or "calculated mode shapes" depending on the context and the specific process used to determine the mode shapes.

Why is it important to validate "mode shapes obtained" from simulations with experimental data?

Validating "mode shapes obtained" from simulations with experimental data ensures the accuracy and reliability of the simulation model. This comparison helps to identify discrepancies and refine the model to better represent the real-world behavior of the structure.