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The most general motion of a linear 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. Vibration of a single normal mode of a ...
Formally, normal modes are determined by solving a secular determinant, and then the normal coordinates (over the normal modes) can be expressed as a summation over the cartesian coordinates (over the atom positions). The normal modes diagonalize the matrix governing the molecular vibrations, so that each normal mode is an independent molecular ...
A system's normal mode is defined by the oscillation of a natural frequency in a sine waveform. In analysis of systems, it is convenient to use the angular frequency ω = 2πf rather than the frequency f, or the complex frequency domain parameter s = σ + ωi.
A gait is a manner of limb movements made during locomotion. [1] Human gaits are the various ways in which humans can move, either naturally or as a result of specialized training. [ 2 ] Human gait is defined as bipedal forward propulsion of the center of gravity of the human body, in which there are sinuous movements of different segments of ...
Each normal coordinate Q k represents an independent vibrational mode of the lattice with wavenumber k, which is known as a normal mode. The second equation, for ω k, is known as the dispersion relation between the angular frequency and the wavenumber.
These are governed by computational laws which assign flight control modes during flight. A flight control mode or flight control law is a computer software algorithm that transforms the movement of the yoke or joystick, made by an aircraft pilot, into movements of the aircraft control surfaces. The control surface movements depend on which of ...
The first woman was elected to lead a country 64 years ago. Here’s a look at where, and when, women have secured national leadership positions since then.
The acronym 3DOF, meaning movement in the three dimensions but not rotation, is sometimes encountered. The Razer Hydra , a motion controller for PC, tracks position and rotation of two wired nunchucks , providing six degrees of freedom on each hand.