logarithmic decrement (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/lɒɡəˈrɪðmɪk dɪˈkrɛmən/

Meaning and Usage

Logarithmic decrement refers to a measure used in oscillatory systems, particularly in the context of damped vibrations. It quantifies the rate of decay of amplitude over successive oscillations, indicating how quickly the oscillations are diminishing due to damping. It is commonly utilized in engineering, physics, and applied mathematics.

• Frequency of Use: This term is relatively specialized and is primarily found in technical literature or academic contexts rather than in everyday conversation. It is more common in written texts, such as research papers and textbooks.
• Context of Use: It is often referenced in discussions of mechanical systems, control systems, and seismology.

Example Sentences

1. The logarithmic decrement helps engineers determine the damping ratio of a vibrating system.
   Логарифмическое уменьшение помогает инженерам определить коэффициент затухания вибрирующей системы.

2. By measuring the logarithmic decrement, researchers could assess the efficiency of the shock absorber.
   Измерив логарифмическое уменьшение, исследователи смогли оценить эффективность амортизатора.

3. The concept of logarithmic decrement is crucial for understanding the stability of structures under dynamic loads.
   Понятие логарифмического уменьшения имеет решающее значение для понимания стабильности конструкций под динамическими нагрузками.

Idiomatic Expressions

While "logarithmic decrement" does not have idiomatic usages in informal speech, it is pertinent in technical expressions and phrases related to damping, vibrations, and oscillatory motions.

1. "The system damped quickly, revealing the logarithmic decrement of its vibrations."
   Система быстро затухла, показав логарифмическое уменьшение своих вибраций.

2. "Engineers are studying the logarithmic decrement to improve the performance of the suspension system."
   Инженеры изучают логарифмическое уменьшение, чтобы улучшить характеристики системы подвески.

3. "By calculating the logarithmic decrement, we can predict the behavior of the oscillator more accurately."
   Рассчитав логарифмическое уменьшение, мы можем более точно предсказать поведение колебателя.

Etymology

The term logarithmic decrement derives from two components: "logarithmic," which comes from the Greek "logarithmos," meaning "proportion," and "decrement," originating from the Latin "decrementum," meaning "a growing less." The combination suggests a quantification of reduction or decay in a logarithmic scale.

Synonyms and Antonyms

Synonyms: - Damping ratio - Decay ratio

Antonyms: - Growth - Increase