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Chladni's Law
Chladni's law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of the numbers ''m'' of diametric (linear) nodes and ''n'' of radial (circular) nodes. It is stated as the equation : f = C (m + 2n)^p where ''C'' and ''p'' are coefficients which depend on the properties of the plate. For flat circular plates, ''p'' is roughly 2, but Chladni's law can also be used to describe the vibrations of cymbals, handbells, and church bells A church bell in Christian architecture is a bell which is rung in a church for a variety of religious purposes, and can be heard outside the building. Traditionally they are used to call worshippers to the church for a communal service, and ... in which case ''p'' can vary from 1.4 to 2.4.. In fact, ''p'' can even vary for a single object, depending on which family of modes is being examined. References External linksA Study of Vibrating Platesby Derek Kverno and J ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Chladni
Ernst Florens Friedrich Chladni (, , ; 30 November 1756 – 3 April 1827) was a German physicist and musician. His most important work, for which he is sometimes labeled as the father of acoustics, included research on vibrating plates and the calculation of the speed of sound for different gases. He also undertook pioneering work in the study of meteorites and is regarded by some as the father of meteoritics. Early life Although Chladni was born in Wittenberg in Saxony, his family originated from Kremnica, then part of the Kingdom of Hungary and today a mining town in central Slovakia. Chladni has therefore been identified as German, Hungarian and Slovak. Chladni came from an educated family of academics and learned men. Chladni's great-grandfather, the Lutheran clergyman Georg Chladni (1637–1692), had left Kremnica in 1673 during the Counter Reformation. Chladni's grandfather, Martin Chladni (1669–1725), was also a Lutheran theologian and, in 1710, became pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Frequency
Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as ''temporal frequency'' for clarity, and is distinct from ''angular frequency''. Frequency is measured in hertz (Hz) which is equal to one event per second. The period is the interval of time between events, so the period is the reciprocal of the frequency. For example, if a heart beats at a frequency of 120 times a minute (2 hertz), the period, —the interval at which the beats repeat—is half a second (60 seconds divided by 120 beats). Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibratory phenomena, such as mechanical vibrations, audio signals (sound), radio waves, and light. Definitions and units For cyclical phenomena such as oscillations, waves, or for examples of simple harmonic motion, the term ''frequency'' is defined as the number of cycles or vibrations per unit of time. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modes Of Vibration
A normal mode of a dynamical system is a pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation. The free motion described by the normal modes takes place at fixed frequencies. These fixed frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies. A physical object, such as a building, bridge, or molecule, has a set of normal modes and their natural frequencies that depend on its structure, materials and boundary conditions. The most general motion of a system is a superposition of its normal modes. The modes are normal in the sense that they can move independently, that is to say that an excitation of one mode will never cause motion of a different mode. In mathematical terms, normal modes are orthogonal to each other. General definitions Mode In the wave theory of physics and engineering, a mode in a dynamical system is a standing wave state of excit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coefficients
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or an expression; it is usually a number, but may be any expression (including variables such as , and ). When the coefficients are themselves variables, they may also be called parameters. For example, the polynomial 2x^2-x+3 has coefficients 2, −1, and 3, and the powers of the variable x in the polynomial ax^2+bx+c have coefficient parameters a, b, and c. The constant coefficient is the coefficient not attached to variables in an expression. For example, the constant coefficients of the expressions above are the number 3 and the parameter ''c'', respectively. The coefficient attached to the highest degree of the variable in a polynomial is referred to as the leading coefficient. For example, in the expressions above, the leading coefficients are 2 and ''a'', respectively. Terminology and definition In mathematics, a coefficient is a multiplicative factor in some term of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chladni Plate 10
Ernst Florens Friedrich Chladni (, , ; 30 November 1756 – 3 April 1827) was a German physicist and musician. His most important work, for which he is sometimes labeled as the father of acoustics, included research on vibrating plates and the calculation of the speed of sound for different gases. He also undertook pioneering work in the study of meteorites and is regarded by some as the father of meteoritics. Early life Although Chladni was born in Wittenberg in Saxony, his family originated from Kremnica, then part of the Kingdom of Hungary and today a mining town in central Slovakia. Chladni has therefore been identified as German, Hungarian and Slovak. Chladni came from an educated family of academics and learned men. Chladni's great-grandfather, the Lutheran clergyman Georg Chladni (1637–1692), had left Kremnica in 1673 during the Counter Reformation. Chladni's grandfather, Martin Chladni (1669–1725), was also a Lutheran theologian and, in 1710, became profes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cymbal
A cymbal is a common percussion instrument. Often used in pairs, cymbals consist of thin, normally round plates of various alloys. The majority of cymbals are of indefinite pitch, although small disc-shaped cymbals based on ancient designs sound a definite note (such as crotales). Cymbals are used in many ensembles ranging from the orchestra, percussion ensembles, jazz bands, heavy metal bands, and marching groups. Drum kits usually incorporate at least a crash, ride, or crash/ride, and a pair of hi-hat cymbals. A player of cymbals is known as a cymbalist. Etymology and names The word cymbal is derived from the Latin ''cymbalum'', which is the latinisation of the Greek word ''kymbalon'', "cymbal", which in turn derives from ''kymbē'', "cup, bowl". In orchestral scores, cymbals may be indicated by the French ''cymbales''; German ''Becken'', ''Schellbecken'', ''Teller'', or ''Tschinellen''; Italian ''piatti'' or ''cinelli''; and Spanish ''platillos''. Many of these deri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Handbells
A handbell is a bell designed to be rung by hand. To ring a handbell, a ringer grasps the bell by its slightly flexible handle – traditionally made of leather, but often now made of plastic – and moves the arm to make the hinged clapper strike the inside of the bell. An individual handbell can be used simply as a signal to catch people's attention or summon them together, but handbells are also often heard in tuned sets. History The first tuned handbells were developed by ancient Vedic civilizations situated in the Indian Subcontinent, such as the Harrapan and Mohenjodaro civilizations. In Western European civilization credit for the development of the hand bell, or "handbell", is accorded to brothers Robert and William Cor in Aldbourne, Wiltshire, England, between 1696 and 1724. The Cor brothers originally made latten bells for hame boxes, but for reasons unknown they began tuning their bells more finely to have an accurate fundamental tone and fitted them with hi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Church Bells
A church bell in Christian architecture is a bell which is rung in a church for a variety of religious purposes, and can be heard outside the building. Traditionally they are used to call worshippers to the church for a communal service, and to announce the fixed times of daily Christian prayer, called the canonical hours, which number seven and are contained in breviaries. They are also rung on special occasions such as a wedding, or a funeral service. In some religious traditions they are used within the liturgy of the church service to signify to people that a particular part of the service has been reached. The ringing of church bells, in the Christian tradition, is also believed to drive out demons. The traditional European church bell ''(see cutaway drawing)'' used in Christian churches worldwide consists of a cup-shaped metal resonator with a pivoted clapper hanging inside which strikes the sides when the bell is swung. It is hung within a steeple or belltower of a chu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Waves
Waves most often refers to: *Waves, oscillations accompanied by a transfer of energy that travel through space or mass. * Wind waves, surface waves that occur on the free surface of bodies of water. Waves may also refer to: Music * Waves (band) Albums * ''Waves'' (Charles Lloyd album) * ''Waves'' (Jade Warrior album) * ''Waves'' (Katrina and the Waves album) * ''Waves'' (Moving Mountains album) * ''Waves'' (Rachel Platten album) * ''Waves'' (Rhydian Roberts album) * ''Waves'' (Sam Rivers album) * ''Waves'' (Story Untold album) * ''Waves'' (Terje Rypdal album) * ''Waves'' (Waves album) * '' Waves: Radio 1 Sessions 90–94'', a compilation album by Ride * ''Waves'' (EP), by Mick Jenkins * ''Waves'', one of the original titles for the Kanye West album, ''The Life of Pablo'' * ''Waves'', a 2005 album by Eric Andersen Songs * "Waves" (Blancmange song), 1983 * "Waves" (Mono Band song), 2005 * "Waves" (Mr. Probz song), 2013 * "Waves" (Kanye West song), 2016 * "Waves" ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
