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V

PROPOSAL AND VERIFICATION OF V-VALUE RESPONSE SPECTRUM IN FLOOR SLAB VIBRATIONS DUE TO HUMAN WALK

Keiji MASUDA, Masanao NAKAYAMA and Toshiyuki OGAWA

This paper proposes the walking vibration V-value response spectrum as an evaluation method of the habitability index V-value derived from a Monte-Carlo simulation and shows verifications with actual walking tests. The following conclusions were obtained. 1 Monte-Carlo simulations using stochastic walking force model were carried out. The effects of each parameter were clarified, such

as the natural frequency, damping coefficient, and the effective mass of the floor slab, the number of people walking, their average body weight, average pacing rate, and the variation of pacing rate of the people walking, and the walking distance.

2 The mean values and variation coefficients of V-value are expressed by the natural frequency, the effective mass, the damping coefficient of the floor slab, the average weight per walker and the number of people walking. Based on these functions, the walking vibration V-value response spectrum is proposed.

3 The Proposed V-value response spectrums were verified by actual walking tests on seven floor slabs.

Keywords : Floor Slab Vibration, Response Spectrum, Stochastic Estimation, Monte-Carlo Simulation, Walk Force, Walking test

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2004

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Technology Development Division, FUJITA Corporation, M. Eng.

** Prof., Dept. of Arch., Oyama National College of Technology, Dr. Eng.

*** Prof., Dept. of Arch. and Building Eng., Tokyo Institute of Technology, Dr. Eng.

人の歩行による床振動に関する V 値応答スペクトルの提案と検証PROPOSAL AND VERIFICATION OF V-VALUE RESPONSE SPECTRUM

IN FLOOR SLAB VIBRATIONS DUE TO HUMAN WALK

増田圭司＊，中山昌尚＊＊，小河利行＊＊＊

Keiji MASUDA, Masanao NAKAYAMA and Toshiyuki OGAWA

　　＊　㈱フジタ　技術センター　修士（工学）（東京工業大学大学院　博士後期課程　社会人プログラム）

　＊＊　小山工業高等専門学校　建築学科　教授・工博＊＊＊　東京工業大学　大学院理工学研究科　建築学専攻　

教授・工博

Technology Development Division, FUJITA Corporation, M. Eng.

Prof., Dept. of Arch., National Institute of Technology, Oyama College, Dr. Eng.Prof., Dept. of Arch. and Building Eng., Tokyo Institute of Technology, Dr. Eng.

日本建築学会環境系論文集第80巻第717号，1029-1036， 2015年11月J. Environ. Eng., AIJ, Vol. 80 No. 717, 1029-1036, Nov., 2015

DOI http://doi.org/10.3130/aije.80.1029【カテゴリーⅠ】�

─ 1029 ─

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11.21.41.6

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5 10 150

0.20.40.60.8

11.21.41.6

(V/

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11.21.41.6

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11.21.41.6

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V

─ 1034 ─ ─ 1035 ─


Keiji MASUDA*, Masanao NAKAYAMA** and Toshiyuki OGAWA***

*Technology Development Division, FUJITA Corporation, M. Eng.

**Prof., Dept. of Arch., Oyama National College of Technology, Dr. Eng.

***Prof., Dept. of Arch. and Building Eng., Tokyo Institute of Technology, Dr. Eng.

This paper proposes walking vibration V-value response spectrum as an evaluation method of habitability index

V-value by Monte-Carlo simulation and shows verifications of these proposed spectrums by actual walking tests.

Firstly, Monte-Carlo simulation was carried out using SDOF system. The situations assumed in the simulation

were, various people, one person or more than one person, walking straight in the middle of the floor slab from one end

to the other end. The floor slab was modeled as a SDOF system of the first mode. The evaluation point was the center of

the floor slab. The stochastic walking force model proposed by authors was used as walking forces.

The parameters of Monte-Carlo simulation were followings. 1) the number of people walking (1, 2, 3, 4, 6, 8, 9 and

10 people), 2) The walking distance (that is span of floor slab; 9 ,12 ,15, 18m), 3) the natural frequency of the floor slab

(5-15Hz, @0.1Hz), 4) the damping coefficient (1%, 2%, 3%, 5%), 5) the average pacing rate of walking (1.8 Hz, 1.9 Hz,

2.0Hz) 6) the variation coefficient of the pacing rate (0, 0.02, 0.05, 0.1). The analysis was carried out 2000 times for

every case and the representative statistical values of V-value (mean and variation coefficient) were evaluated.

For each parameter the effects on mean and variation coefficient of V-values were estimated from the analytical

results obtained. When harmonic component part of walking pacing rate closed to the natural frequency of floor slab,

resonance phenomena occurs and the mean of V-values increases sharply. But smoothness in this peak of V-value is

seen when considering the variation of pacing rate. The effects of damping coefficient of floor slab and number of people

walking were also indicated. The effect of walking distance was not seen in Monte-Carlo simulation.

Based on this result, the mean and variation coefficient of V-value can be expressed as simple functions of the

natural frequency, the effective mass and damping coefficient of the floor slab, the average weight per person walking

and the number of people walking. These functions were proposed as walking vibration V-value response spectrum

using these expressions.

Walking tests were carried out on seven floor slabs in order to verify this proposed V-value spectrum. One person

or more than one person walked multiple times in actual walking tests, and statistical characteristics of experimental

V-value (mean and variation coefficient) were acquired. Also, kinematic characteristic of the floor slabs such as natural

frequencies and vibration modes were acquired by hammering test conducted at the same time.

The calculation result by proposed walking vibration V-value response spectrum was compared with test results,

and adequacy of proposed formula were verified.


Keiji MASUDA＊, Masanao NAKAYAMA＊＊ and Toshiyuki OGAWA＊＊＊

＊ Technology Development Division, FUJITA Corporation, M. Eng.＊＊ Prof., Dept. of Arch., National Institute of Technology, Oyama College, Dr. Eng.

＊＊＊ Prof., Dept. of Arch. and Building Eng., Tokyo Institute of Technology, Dr. Eng.

（2015 年 3 月 31 日原稿受理，2015 年 8 月 4 日採用決定）

─ 1036 ─

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