Horizontal and Vertical Wave-Propagation Velocities and Natural Frequencies of Human Bodies by S-Wave and P-Wave

Truong Hoang Vinh Phuong, Ph. D, P.E.

ABSTRACT:

Horizontal and vertical wave-propagation velocities and natural frequencies of human bodies by shear wave (S-Wave) and compression wave (P-wave), respectively, increase with the increase in the volume of air in lungs and in other parts of the bodies, e.g. the oxygen and nitrogen volumes in blood, the physiological dead space, the tidal volume (TV), the total amount of water in the body (TBW), and specific gravity of bones in human bodies; and with the decrease in the body weight and body height, the body mass index (BMI) and the body surface area (BSA). The vertical wave-propagation velocity and the vertical natural frequency of the human bodies by compression wave (P-wave) increase with the Poisson’s ratio of the human bodies. Wave-propagation velocities and natural frequencies of human bodies also very slightly increase with the increase in the temperature of the body and the sodium of the human blood (HB). Human bodies have been logically considered as the mixtures of Bone-Air-Water (BAW) for the analyses.

For the same BMI, horizontal and vertical body natural frequencies for men are generally about 1.2 Hz (or 12.5%) and 1.8 Hz (or 7.3%) higher than those for women due to the higher values of the muscle weights, bone weights, lung volume, and total body water (TBW) for men, respectively. Horizontal and vertical health-frequency factors (HFFs) have been introduced in order to emphasize and easily indicate the health level of each person in horizontal and vertical directions, respectively. The higher the positive health-frequency factor, the healthier and much happier person or stronger human antenna is.

Key words: Wave-propagation velocity, natural frequency, TBW, BMI, BSA.

Introduction

Everything in universe is in vibration and has its own resonant frequency or natural frequency, even for the very small living cells in the human bodies. The subject of natural frequencies of human bodies is little known or understood by most people. But given an understanding of it, it is the most fascinating, enlightening and amazing thing, really need to know, especially, living in a world of frequencies and vibration or energy.

By continuously raising the personal natural frequency or vibration, e.g. by always physically active, and by slowly and regularly maximizing the amount of oxygen that goes into the bloodstream by the practicing deep breathing techniques or diaphragmatic breathing, as also mentioned a lot in meditation; the body-spirit-mind network is really getting much better. As a result, the human body will get much healthier and stronger with the higher natural frequency, the energy levels will attain the right balance and equilibrium, and the mind will become much more peaceful.

The lower natural frequencies or vibrations might include unpleasant motions, such as fear, pain, illnesses, diseases, anxiety disorders, depressions, or disappointment, and disagreeable situations and people. Furthermore, according to many scientific studies, certain specific frequencies are able to prevent or destroy viruses, bacteria and diseases for many people. This is how the body natural frequency or vibration level could be considered to link with the physical, mental, and emotional states of human beings. So, the natural frequencies of human bodies might be the essentially vital information or indication that everyone really needs to know or to have in every personal medical record in the future.

The natural frequency of a healthy or happy person is higher than in someone who is not, and laughter also raises the natural frequencies. Healthy or happy person with higher natural frequency are also normally less prone to diseases or illnesses. Our health can be greatly affected by the high and low within our body, e.g. the low natural frequency of the internal organs, such as the brain. The quality and quantities of the food, water and air; that we eat, drink and breathe, respectively, also could make us sick and lower our natural frequencies.

Environmental conditions and electromagnetic fields of the earth and the universe can tremendously affect our health or our natural frequencies. Optimal frequency is when all is in order – when we are in balance, our vibration is in unison with the law of vibration – when we all are in tune within our body, the environment, the earth and the universe, and each cell of our body vibrates at the frequency it was designed to…

The horizontal and vertical wave-propagation velocities and natural frequencies of human bodies caused by S-wave and P-wave, respectively, are also the most important or vital information for any engineering designs, medical treatments and personal enjoyment in many well-developed or modern societies.

The effects of the important elements in human bodies on wave-propagation velocities and natural frequencies of the human bodies, which are air, water, bones, body flesh, muscles, and temperatures in the human bodies, should be always thoroughly considered and investigated in detail for any projects.

For an average 75 kg man, muscle, skin, skeleton, adipose, organs, and human blood (HB) are measured about 43, 18, 15, 12, 7 and 5 % of the total body mass (TBM), respectively ((Shirreffs et al. (2000); and Sawka (1990)). Human body has been also itemized in terms of body mass in percentages from most abundant to least abundant, as Oxygen (65%), Carbon (18.5%), Hydrogen (9.5%), Nitrogen (3.2%), Calcium (1.5%), Phosphorous (1.0%), Potassium (0.4%), Sulfur (0.3%), Sodium (0.2%) and other trace elements.

By weight, the average human adult male is approximately 55%-75% water. However, there can be considerable variation in body water percentage based on a number of factors like age, health, weight, and sex. In a large study of adults of all ages and both sexes, the adult human body averaged ~65% water. However, this varied substantially by age, sex, and adiposity (amount of fat in body composition). The figure for water fraction by weight in this sample was found to be 48 ±6% water for females and 58±8% water for males (Wikipedia.org).

In general, human bodies could be simply, logically or reasonably considered as the mixtures of Bone-Air-Water (BAW), even though, as specifically, miraculously and very complicatedly designed by the mother of nature.

The measurement methods of body composition have been continuously improved from the commonly used methods being bioelectrical impedance analysis, dilution techniques, air displacement plethysmography, dual energy X-ray absorptiometry, MRI or magnetic resonance spectroscopy, to recently developed three-dimensional photonic scanning and quantitative magnetic resonance. Collectively, these techniques allow for measurement of fat, fat-free mass, bone mineral content, lung capacities, total body water (TBW), extracellular water, total adipose tissue and its sub-depots (visceral, subcutaneous, and intermuscular), skeletal muscle, organs, and ectopic fat depots.

This paper presents the expressions of the horizontal and vertical wave-propagation velocities, and the natural frequencies of the human bodies by shear wave (S-wave) and compression wave (P-wave) of the mixtures of Bone-Air-Water (BAW), and the variations of the wave-propagation velocities and the natural frequencies with the volume of air, the physiological dead space, the tidal volume (TV), the total body water (TBW), the body weight and height, the body mass index (BMI), body surface area (BSA), gender, temperature, etc., based on the recent work on the dynamic soil masses, dynamic water masses, natural frequencies of soil layers and oceans, and the wave-propagation velocity for the mixtures of Solid-Air-Water (SAW) by Truong (1993, 2009, 2010, 2011a, 2011b, 2011c, 2011e, 2011f, 2012e, 2012f, 2012g, 2012h, 2012i, and 2012j), respectively.

The horizontal and vertical health-frequency factors (HFFs) have also been introduced in order to greatly and importantly show the health condition of each person in horizontal and vertical directions, respectively.