Harmonic Loading to Transient Loading

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.	.	Motor		Pump		F₀ (N)		F_x(1) (N)			F_z(3) (N)			M_x(4) (N.m)			M_y(5) (N.m)			M_z(6) (N.m)
.	Time(s)	w_m.t	b_m	w_p.t + Phase Angle	b_p	Motor	Pump	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.	Motor	Pump	.
i	i x t	2p.f_m.t / 60	angle	2p.f_p.t / 60 + a.p / 180	angle	W_m.f_mx9.81 / 6000	W_p.f_px9.81 / 6000	F₀.SIN(b_m)	F₀.SIN(b_p)	Total	F₀.COS(b_m)	F₀.COS(b_p)	Total	F_zm.(Y_m-Y_c)	F_zp.(Y_p-Y_c)	Total	F_zm.(X_m-X_c)+ F_xm.(Z_m-Z_c)	F_zp.(X_p-X_c)+ F_xp.(Z_p-Z_c)	Total	F_xm.(Y_m-Y_c)	F_xp.(Y_p-Y_c)	Total
0	0	0	0	0	0	2,943	3,472	0	0	0	2,943	3,472	6,415	12,905	-9,813	3,092	0	0	0	0	0	0
1	0.001	0.188	10.8	0.542	31.1	2,943	3,472	551	1,793	2,344	2,891	2,974	5,865	12,676	-8,404	4,272	1,335	4,338	5,673	2,418	-5,066	-2,648
2	0.002	0.377	21.6	1.085	62.2	2,943	3,472	1,083	3,070	4,154	2,736	1,622	4,358	11,999	-4,583	7,416	2,622	7,431	10,052	4,751	-8,677	-3,927
3	0.003	0.565	32.4	1.627	93.2	2,943	3,472	1,577	3,467	5,044	2,485	-196	2,289	10,896	555	11,451	3,816	8,390	12,206	6,915	-9,797	-2,882
4	0.004	0.754	43.2	2.17	124.3	2,943	3,472	2,015	2,868	4,882	2,145	-1,958	188	9,407	5,533	14,940	4,875	6,940	11,816	8,834	-8,105	730
5	0.005	0.942	54.0	2.712	155.4	2,943	3,472	2,381	1,445	3,826	1,730	-3,157	-1,427	7,585	8,922	16,508	5,762	3,498	9,260	10,440	-4,085	6,355
6	0.006	1.131	64.8	3.255	186.5	2,943	3,472	2,663	-392	2,271	1,253	-3,450	-2,197	5,495	9,750	15,245	6,444	-948	5,496	11,677	1,107	12,784
7	0.007	1.319	75.6	3.797	217.6	2,943	3,472	2,851	-2,117	734	732	-2,753	-2,021	3,209	7,779	10,988	6,898	-5,123	1,776	12,500	5,982	18,482
8	0.008	1.508	86.4	4.34	248.6	2,943	3,472	2,937	-3,234	-297	185	-1,265	-1,080	810	3,574	4,384	7,108	-7,826	-718	12,880	9,139	22,019
9	0.009	1.696	97.2	4.882	279.7	2,943	3,472	2,920	-3,423	-503	-369	586	217	-1,617	-1,657	-3,274	7,066	-8,283	-1,217	12,803	9,672	22,475
10	0.01	1.885	108.0	5.424	310.8	2,943	3,472	2,799	-2,629	170	-909	2,269	1,360	-3,988	-6,412	-10,400	6,773	-6,361	412	12,273	7,428	19,702
11	0.011	2.073	118.8	5.967	341.9	2,943	3,472	2,579	-1,080	1,499	-1,418	3,300	1,882	-6,217	-9,326	-15,543	6,241	-2,613	3,628	11,309	3,052	14,361
12	0.012	2.262	129.6	6.509	373.0	2,943	3,472	2,268	779	3,046	-1,876	3,384	1,508	-8,226	-9,563	-17,789	5,488	1,885	7,372	9,944	-2,201	7,743
13	0.013	2.45	140.4	7.052	404.0	2,943	3,472	1,876	2,414	4,290	-2,268	2,496	229	-9,944	-7,054	-16,998	4,540	5,842	10,381	8,226	-6,822	1,404
14	0.014	2.639	151.2	7.594	435.1	2,943	3,472	1,418	3,356	4,774	-2,579	892	-1,687	-11,309	-2,520	-13,829	3,431	8,121	11,553	6,217	-9,484	-3,267
15	0.015	2.827	162.0	8.137	466.2	2,943	3,472	909	3,335	4,244	-2,799	-969	-3,768	-12,273	2,738	-9,536	2,201	8,070	10,270	3,988	-9,423	-5,436
16	0.016	3.016	172.8	8.679	497.3	2,943	3,472	369	2,356	2,725	-2,920	-2,551	-5,471	-12,803	7,209	-5,594	893	5,701	6,594	1,617	-6,657	-5,040
17	0.017	3.204	183.6	9.222	528.4	2,943	3,472	-185	701	516	-2,937	-3,401	-6,338	-12,880	9,611	-3,268	-447	1,695	1,248	-810	-1,980	-2,790
18	0.018	3.393	194.4	9.764	559.4	2,943	3,472	-732	-1,156	-1,888	-2,851	-3,274	-6,125	-12,500	9,254	-3,246	-1,771	-2,797	-4,568	-3,209	3,266	57
19	0.019	3.581	205.2	10.307	590.5	2,943	3,472	-1,253	-2,680	-3,933	-2,663	-2,208	-4,871	-11,677	6,239	-5,438	-3,032	-6,486	-9,518	-5,495	7,574	2,079
20	0.02	3.77	216.0	10.849	621.6	2,943	3,472	-1,730	-3,435	-5,165	-2,381	-507	-2,888	-10,440	1,434	-9,007	-4,186	-8,313	-12,499	-7,585	9,708	2,122
21	0.021	3.958	226.8	11.391	652.7	2,943	3,472	-2,145	-3,204	-5,349	-2,015	1,339	-676	-8,834	-3,784	-12,618	-5,192	-7,753	-12,945	-9,407	9,054	-353
22	0.022	4.147	237.6	11.934	683.8	2,943	3,472	-2,485	-2,053	-4,538	-1,577	2,801	1,224	-6,915	-7,915	-14,830	-6,013	-4,968	-10,981	-10,896	5,801	-5,095
23	0.023	4.335	248.4	12.476	714.8	2,943	3,472	-2,736	-312	-3,049	-1,083	3,458	2,375	-4,751	-9,773	-14,524	-6,622	-756	-7,378	-11,999	883	-11,116
24	0.024	4.524	259.2	13.019	745.9	2,943	3,472	-2,891	1,518	-1,373	-551	3,123	2,572	-2,418	-8,826	-11,244	-6,996	3,673	-3,323	-12,676	-4,289	-16,966
25	0.025	4.712	270.0	13.561	777.0	2,943	3,472	-2,943	2,912	-31	3.51e-05	1,891	1,891	1.54e-04	-5,345	-5,345	-7,122	7,048	-75	-12,905	-8,230	-21,135
26	0.026	4.901	280.8	14.104	808.1	2,943	3,472	-2,891	3,470	580	551	116	668	2,418	-329	2,089	-6,996	8,399	1,403	-12,676	-9,808	-22,484
27	0.027	5.089	291.6	14.646	839.2	2,943	3,472	-2,736	3,032	296	1,083	-1,692	-609	4,751	4,781	9,532	-6,622	7,338	716	-11,999	-8,569	-20,568
28	0.028	5.278	302.4	15.189	870.2	2,943	3,472	-2,485	1,724	-761	1,577	-3,014	-1,438	6,915	8,519	15,434	-6,013	4,171	-1,842	-10,896	-4,871	-15,767
29	0.029	5.466	313.2	15.731	901.3	2,943	3,472	-2,145	-80	-2,225	2,015	-3,471	-1,457	8,834	9,810	18,645	-5,192	-194	-5,385	-9,407	226	-9,181
30	0.03	5.655	324.0	16.273	932.4	2,943	3,472	-1,730	-1,861	-3,590	2,381	-2,932	-551	10,440	8,285	18,726	-4,186	-4,503	-8,689	-7,585	5,258	-2,327
31	0.031	5.843	334.8	16.816	963.5	2,943	3,472	-1,253	-3,107	-4,360	2,663	-1,550	1,112	11,677	4,382	16,058	-3,032	-7,519	-10,551	-5,495	8,781	3,286
32	0.032	6.032	345.6	17.358	994.6	2,943	3,472	-732	-3,461	-4,193	2,851	276	3,127	12,500	-780	11,719	-1,771	-8,377	-10,148	-3,209	9,782	6,573
33	0.033	6.22	356.4	17.901	1,025.6	2,943	3,472	-185	-2,822	-3,007	2,937	2,023	4,961	12,880	-5,718	7,162	-447	-6,829	-7,276	-810	7,975	7,165
34	0.034	6.409	367.2	18.443	1,056.7	2,943	3,472	369	-1,372	-1,004	2,920	3,190	6,110	12,803	-9,014	3,789	893	-3,321	-2,429	1,617	3,878	5,496
35	0.035	6.597	378.0	18.986	1,087.8	2,943	3,472	909	471	1,381	2,799	3,440	6,239	12,273	-9,722	2,551	2,201	1,140	3,341	3,988	-1,332	2,656
36	0.036	6.786	388.8	19.528	1,118.9	2,943	3,472	1,418	2,180	3,597	2,579	2,703	5,282	11,309	-7,639	3,670	3,431	5,275	8,706	6,217	-6,160	57
37	0.037	6.974	399.6	20.071	1,150.0	2,943	3,472	1,876	3,262	5,138	2,268	1,190	3,458	9,944	-3,363	6,581	4,540	7,894	12,434	8,226	-9,219	-993
38	0.038	7.163	410.4	20.613	1,181.0	2,943	3,472	2,268	3,408	5,676	1,876	-665	1,211	8,226	1,879	10,105	5,488	8,248	13,735	9,944	-9,631	312
39	0.039	7.351	421.2	21.155	1,212.1	2,943	3,472	2,579	2,576	5,155	1,418	-2,329	-911	6,217	6,581	12,799	6,241	6,233	12,474	11,309	-7,279	4,030
40	0.04	7.54	432.0	21.698	1,243.2	2,943	3,472	2,799	1,004	3,803	909	-3,324	-2,415	3,988	9,394	13,382	6,773	2,429	9,202	12,273	-2,836	9,437
41	0.041	7.728	442.8	22.24	1,274.3	2,943	3,472	2,920	-857	2,063	369	-3,365	-2,996	1,617	9,510	11,127	7,066	-2,073	4,993	12,803	2,421	15,224
42	0.042	7.917	453.6	22.783	1,305.4	2,943	3,472	2,937	-2,471	466	-185	-2,440	-2,625	-810	6,895	6,085	7,108	-5,979	1,129	12,880	6,982	19,862
43	0.043	8.105	464.4	23.325	1,336.4	2,943	3,472	2,851	-3,376	-525	-732	-814	-1,546	-3,209	2,301	-909	6,898	-8,169	-1,271	12,500	9,540	22,039
44	0.044	8.294	475.2	23.868	1,367.5	2,943	3,472	2,663	-3,311	-648	-1,253	1,045	-208	-5,495	-2,954	-8,449	6,444	-8,013	-1,569	11,677	9,358	21,035
45	0.045	8.482	486.0	24.41	1,398.6	2,943	3,472	2,381	-2,296	85	-1,730	2,605	875	-7,585	-7,361	-14,946	5,762	-5,557	205	10,440	6,489	16,930
46	0.046	8.671	496.8	24.953	1,429.7	2,943	3,472	2,015	-622	1,393	-2,145	3,416	1,271	-9,407	-9,654	-19,062	4,875	-1,505	3,370	8,834	1,758	10,592
47	0.047	8.859	507.6	25.495	1,460.8	2,943	3,472	1,577	1,231	2,808	-2,485	3,247	762	-10,896	-9,176	-20,072	3,816	2,979	6,795	6,915	-3,478	3,437
48	0.048	9.048	518.4	26.038	1,491.8	2,943	3,472	1,083	2,730	3,814	-2,736	2,145	-591	-11,999	-6,063	-18,062	2,622	6,607	9,229	4,751	-7,716	-2,965
49	0.049	9.236	529.2	26.58	1,522.9	2,943	3,472	551	3,446	3,997	-2,891	428	-2,463	-12,676	-1,209	-13,886	1,335	8,339	9,674	2,418	-9,738	-7,320
50	0.05	9.425	540.0	27.122	1,554.0	2,943	3,472	-7.02e-05	3,172	3,172	-2,943	-1,412	-4,355	-12,905	3,991	-8,914	-1.70e-04	7,677	7,677	-3.08e-04	-8,965	-8,965
51	0.051	9.613	550.8	27.665	1,585.1	2,943	3,472	-551	1,988	1,436	-2,891	-2,847	-5,738	-12,676	8,046	-4,630	-1,335	4,810	3,476	-2,418	-5,617	-8,035
52	0.052	9.802	561.6	28.207	1,616.2	2,943	3,472	-1,083	233	-851	-2,736	-3,465	-6,201	-11,999	9,791	-2,208	-2,622	563	-2,059	-4,751	-657	-5,408
53	0.053	9.99	572.4	28.75	1,647.2	2,943	3,472	-1,577	-1,589	-3,166	-2,485	-3,087	-5,572	-10,896	8,725	-2,171	-3,816	-3,846	-7,663	-6,915	4,492	-2,423
54	0.054	10.179	583.2	29.292	1,678.3	2,943	3,472	-2,015	-2,955	-4,970	-2,145	-1,824	-3,969	-9,407	5,154	-4,254	-4,875	-7,151	-12,027	-8,834	8,351	-483
55	0.055	10.367	594.0	29.835	1,709.4	2,943	3,472	-2,381	-3,472	-5,853	-1,730	-36	-1,766	-7,585	103	-7,483	-5,762	-8,403	-14,165	-10,440	9,813	-628
56	0.056	10.556	604.8	30.377	1,740.5	2,943	3,472	-2,663	-2,993	-5,655	-1,253	1,761	508	-5,495	-4,978	-10,472	-6,444	-7,242	-13,686	-11,677	8,457	-3,220
57	0.057	10.744	615.6	30.92	1,771.6	2,943	3,472	-2,851	-1,654	-4,504	-732	3,053	2,321	-3,209	-8,629	-11,838	-6,898	-4,002	-10,900	-12,500	4,673	-7,826
58	0.058	10.933	626.4	31.462	1,802.6	2,943	3,472	-2,937	160	-2,777	-185	3,469	3,284	-810	-9,803	-10,613	-7,108	387	-6,721	-12,880	-452	-13,332
59	0.059	11.121	637.2	32.004	1,833.7	2,943	3,472	-2,920	1,928	-992	369	2,888	3,257	1,617	-8,162	-6,545	-7,066	4,665	-2,401	-12,803	-5,448	-18,251
60	0.06	11.31	648.0	32.547	1,864.8	2,943	3,472	-2,799	3,142	343	909	1,478	2,388	3,988	-4,178	-190	-6,773	7,603	830	-12,273	-8,879	-21,153
61	0.061	11.498	658.8	33.089	1,895.9	2,943	3,472	-2,579	3,454	875	1,418	-356	1,062	6,217	1,005	7,222	-6,241	8,359	2,118	-11,309	-9,761	-21,070
62	0.062	11.687	669.6	33.632	1,927.0	2,943	3,472	-2,268	2,775	507	1,876	-2,088	-212	8,226	5,900	14,126	-5,488	6,715	1,227	-9,944	-7,841	-17,785
63	0.063	11.875	680.4	34.174	1,958.0	2,943	3,472	-1,876	1,299	-577	2,268	-3,220	-953	9,944	9,101	19,045	-4,540	3,142	-1,397	-8,226	-3,670	-11,896

Harmonic Loading to Transient Loading

m Overall Center of Gravity X_c = m Z_c = m Y_c =

Harmonic Loading to Transient Loading

highlighting Curve

Rotor Speed f_m = RPM RPM f_p =

Rotor Weight W_m = kg kg W_p =

m Center of Gravity of Pump X_p = m Z_p = m Y_p =

m Center of Gravity of Motor X_m = m Z_m = m Y_m =

Same Opposite Rotating Direction

Information a = t = n =

This function is just for transferring the harmonic loading to transient loading for vibrating equipment foundation analysis.

C₁ - center of gravity of the motor   (X_m, Y_m, Z_m)
C₂ - center of gravity of the pump   (X_p, Y_p, Z_p)
C₃ - center of gravity of whole equipment and foundation   (X_c, Y_c, Z_c)
    (the orignal point at the lower left corner of footing)

n - number of time intervals, it should be power of 2, such as: 32, 64, etc.

Review Report