Equations of moton for a bass reflex loudspeaker

  • Thread starter wally50
  • Start date
In summary, the conversation discussed the complexity of deriving equations for a bass reflex loudspeaker with two degrees of freedom, which involves modeling the system as an electrical fourth order filter. There are also non-linearities in the speaker cone motion and the air within the port. The work of Thiele and Small offers insights, but for accurate modeling, specialized programs like LEAP are recommended. For school projects or sound reproduction, there are cheaper software options available. The website of Art Ludwig was also suggested as a resource for information on the physics of sound and system design for custom entertainment rooms.
  • #1
wally50
2
0
I am trting to derive the equations of moton for a bass reflex loudspeaker with two degree of freedom. anyone out there ever done this??
 
Engineering news on Phys.org
  • #2
This could be very involved since the system is modeled as an electrical fourth order filter. The speaker cone motion should (according to theory) show no movement near the enclosure resonance but varies because of non-linearities. The air within the port also has many non-linear aspects.

The work of Thiele and Small offered many insights into the very small signal level behavior, but at higher drive levels the complexities generally leave the modeling to devoted programs like LEAP that can accurately account for the non-linearities.

http://linearx.com/products/software/LEAP5/LEAP5_01.htm

Is this for a school project? Or for an application like sound reproduction. For the former, the AES papers by Thiele & Small from the late 60s (along with many others) offer tons of insight. For producing a loudspeaker, there are far cheaper and reasonably accurate software and the Loudspeaker Design Cookbook by Vance Dickason offers a simplified layman's approach to all aspects of loudspeaker system construction.

Cliff
 
Last edited by a moderator:
  • #3
I would suggest looking at Art Ludwig's web site: http://www.silcom.com/~aludwig/index.htm

Art has a very extensive site on the physics of sound in regards to sound systems. He has some great information. He has a section devoted to system design that may answer your question:
http://www.silcom.com/~aludwig/Sysdes/Design_of_the_sound_system.htm

If anyone is ever interested in building a custom entertainment room or anything related, I HIGHLY recommend Art's web site!
 

1. What is an equation of motion for a bass reflex loudspeaker?

An equation of motion for a bass reflex loudspeaker is a mathematical representation of the movement of the speaker cone in response to an electrical signal. It takes into account factors such as the speaker's mass, the applied force from the electrical signal, and the air resistance inside the speaker cabinet.

2. How is the equation of motion for a bass reflex loudspeaker derived?

The equation of motion for a bass reflex loudspeaker is derived using principles of Newtonian mechanics, specifically Newton's second law of motion. This law states that the force applied to an object is equal to the mass of the object multiplied by its acceleration. By applying this law to the speaker cone, we can derive an equation that describes its movement.

3. What factors affect the equation of motion for a bass reflex loudspeaker?

The equation of motion for a bass reflex loudspeaker is affected by several factors, including the speaker's mass, the properties of the materials used in its construction, the size and shape of the speaker cone, and the air resistance inside the speaker cabinet. These factors can all impact the speaker's performance and must be taken into consideration when designing the equation of motion.

4. How is the equation of motion for a bass reflex loudspeaker used in speaker design?

The equation of motion for a bass reflex loudspeaker is an essential tool in speaker design. It allows engineers to predict the movement of the speaker cone and optimize the design for maximum performance. By adjusting variables such as the speaker's mass and the size of the cabinet, designers can fine-tune the equation of motion to achieve the desired sound quality.

5. Can the equation of motion for a bass reflex loudspeaker be applied to other types of speakers?

While the equation of motion for a bass reflex loudspeaker is specifically designed for this type of speaker, the underlying principles of Newtonian mechanics can be applied to other types of speakers as well. However, the specific variables and factors may differ depending on the design of the speaker. It is essential to consider the unique characteristics of each speaker when applying the equation of motion.

Similar threads

I Relationship between frequency and power for sound?
    • Mechanics
Replies
9
Views
1K
MHB Equivalence Relations: Solving & Proving Reflexivity, Symmetry & Transitivity
    • Set Theory, Logic, Probability, Statistics
Replies
2
Views
1K
Sound Power Level (SPL) of a loudspeaker
    • Introductory Physics Homework Help
Replies
11
Views
2K
B Resonance of air between two loudspeakers
    • Other Physics Topics
Replies
12
Views
2K
MHB How Do You Solve the Second Part of an Equivalence Relations Problem?
    • Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K
Why does the polarity of a bass guitar recording vary?
    • Optics
Replies
10
Views
1K
Magnetic Repulsion for a Loudspeaker Motor
    • Electromagnetism
Replies
8
Views
7K
Solving Loudspeaker Delay in 30ms for 5.0m
    • Introductory Physics Homework Help
Replies
7
Views
1K
Derivation for modified sine curve equations
    • General Engineering
Replies
6
Views
382
B Why are these relations reflexive/symmetric/transitive?
    • General Math
Replies
20
Views
2K

Hot Threads

Recent Insights

Back
Top