steve_bank
Diabetic retinopathy and poor eyesight. Typos ...
A response to a post on another thread.
In the 90s when I took a night class in modern physics it was a little anti-climactic. Some of the general principles I understood from elect cal theory.
Principles of resonance and complex impedance are a general form that appear in electric circuits, mechanics, and hea flow.
In QM a rectangular potential well at the parcel level is a resonator.
Electrical impedance is one form of a generalized impedance function. Complex impedance electrcal or mechanical arises when there is a phase shift between excitation and response.
An electro-mechanical audio speaker serves as a complex impedance match between the electrical output impedance of the audio amplifier and the mechanical impedance of the air.
Resonance is also a generalized function across QM, Newtonian mechanics, and electric circuits.
A resonant electrical RLC circuit has the same 2nd order differential equation as a mechanical spring-mass- dashpot system. Any system with a 2nd order or higher differential equation can have an exponential(complex) response under dynamic excitation. .
Capacitance is a generalized form that appears in electric circuits, mechanics, and heat flow.
In the 90s when I took a night class in modern physics it was a little anti-climactic. Some of the general principles I understood from elect cal theory.
Principles of resonance and complex impedance are a general form that appear in electric circuits, mechanics, and hea flow.
In QM a rectangular potential well at the parcel level is a resonator.
Electrical impedance is one form of a generalized impedance function. Complex impedance electrcal or mechanical arises when there is a phase shift between excitation and response.
An electro-mechanical audio speaker serves as a complex impedance match between the electrical output impedance of the audio amplifier and the mechanical impedance of the air.
Resonance is also a generalized function across QM, Newtonian mechanics, and electric circuits.
A resonant electrical RLC circuit has the same 2nd order differential equation as a mechanical spring-mass- dashpot system. Any system with a 2nd order or higher differential equation can have an exponential(complex) response under dynamic excitation. .
Capacitance is a generalized form that appears in electric circuits, mechanics, and heat flow.
Mechanical impedance - Wikipedia
en.wikipedia.org
Mechanical impedance is a measure of how much a structure resists motion when subjected to a harmonic force. It relates forces with velocities acting on a mechanical system. The mechanical impedance of a point on a structure is the ratio of the force applied at a point to the resulting velocity at that point.[1][2]
Mechanical impedance is the inverse of mechanical admittance or mobility. The mechanical impedance is a function of the frequency ω of the applied force and can vary greatly over frequency. At resonance frequencies, the mechanical impedance will be lower, meaning less force is needed to cause a structure to move at a given velocity. A simple example of this is pushing a child on a swing. For the greatest swing amplitude, the frequency of the pushes must be near the resonant frequency of the system.
Analogues in mechanical engineering: resistance = friction, capacitance = potential energy (spring), inductance = potential energy (opposing spring). These are all terms that are related through the mass and energy equations that tie all engineering areas together.