Here is a chart showing the natural frequencies of piano keys: piano.pdf Here is a paper on some basic music theory: music.pdf * * * See also: Fun with Sound Files Wind Chime Acoustics Tuning Fork Sound and Vibration: tuning.pdf * * * – Tom… Read more
Here is a paper which gives a derivation of the mass and stiffness matrices for beam bending: beam_FEM.pdf * * * Here is a Matlab script for the modal analysis of a straight beam. beam.zip * * * Here is Matlab script for the modal… Read more
This post is a work-in-progress… Frequency Response Function based substructuring (FBS) predicts the dynamic behavior of a coupled system on the basis of free interface FRFs of the uncoupled components. Here is a tutorial paper: Frequency Response Function Substructuring Modal damping requires special consideration: Notes on… Read more
The Bible is the written word of God. The Old Testament begins with the stories of the Creation, Adam and Eve, and the Patriarchs. It continues with the law and commandments that Jehovah gave to the Moses and the Children of Israel. The New Testment… Read more
5) But I have trusted in thy mercy; my heart shall rejoice in thy salvation. 6) I will sing unto the LORD, because he hath dealt bountifully with me. Psalm 13 * * * Trust in the LORD with all thine heart; and lean not… Read more
The patriarchs, prophets and kings of the Old Testament constructed altars unto the Lord. Early altars were built from unhewn stone. The altars were used for burnt sacrifices and offerings. They were also used for prayer, worship, covenants and as memorials unto the Lord. *… Read more
[17] Thou shalt not covet thy neighbour’s house, thou shalt not covet thy neighbour’s wife, nor his manservant, nor his maidservant, nor his ox, nor his ass, nor any thing that is thy neighbour’s. Exodus 20 * * * [6] For the LORD thy God… Read more
God speaks to us through the Holy Scriptures. 10 And the brethren immediately sent away Paul and Silas by night unto Berea: who coming thither went into the synagogue of the Jews. 11 These were more noble than those in Thessalonica, in that they received… Read more
17 And whatsoever ye do in word or deed, do all in the name of the Lord Jesus, giving thanks to God and the Father by him. 23 And whatsoever ye do, do it heartily, as to the Lord, and not unto men; 24 Knowing… Read more
The Children of Israel were required by Pharoah to work seven days per week when they were slaves in Egypt. After they were liberated, the Lord commanded them: Remember the sabbath day, to keep it holy. (Exodus 20:8) The Lord expected the Children of Israel… Read more